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Impact of the Higher-Order Reactive Nonlinearity on High-Amplitude Dissipative Solitons J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-03-18 S. C. Latas, M. F. Ferreira
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Affine Algebraic Ricci Solitons Associated to the Yano Connections on Three-Dimensional Lorentzian Lie Groups J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-03-14
Abstract In this paper, we compute curvatures of Yano connections on three-dimensional Lorentzian Lie groups with some product structure. We define affine algebraic Ricci solitons associated to Yano connections and classify left-invariant affine algebraic Ricci solitons associated to Yano connections on three-dimensional Lorentzian Lie groups.
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Existence of the Solution for a Double Phase System with Convex Nonlinearities J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-03-14 Yizhe Feng, Suiming Shang, Zhanbing Bai
In this paper, we study the following double phase system which contains the convex nonlinearities. By the use of the Nehari manifold, the existence of one nontrivial solution which has nonnegative energy is obtained.
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Uniqueness of Nonlinear Inverse Problem for Sturm–Liouville Operator with Multiple Delays J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-03-13
Abstract The inverse problem concerns how to reconstruct the operator from given spectral data. The main goal of this paper is to address nonlinear inverse Sturm–Liouville problem with multiple delays. By using a new technique and method: zero function extension, we establish the uniqueness result and practical method for recovering the nonlinear inverse problem from two spectra.
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Boundedness of Solutions to a Fully Parabolic Indirect Pursuit–Evasion Predator–Prey System with Density-Dependent Diffusion in $${{\mathbb{R}}}^2$$ J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-03-11 Fugeng Zeng, Dongxiu Wang, Lei Huang
This paper deals with a fully parabolic indirect pursuit–evasion predator–prey system with density-dependent diffusion \(u_{t}=\Delta (\psi _1(w)u)+u(\lambda -u+\alpha v), v_{t}=\Delta (\psi _2(z) v)+v(\mu -v-\beta u), w_{t}=\Delta w -w+v, z_{t}=\Delta z-z+u\) under a smooth bounded domain \(\Omega \subset {\mathbb{R}}^2\) with homogeneous Neumann boundary conditions, where the parameters \(\lambda
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Nonlinear Stochastic Operators and Associated Inhomogeneous Entangled Quantum Markov Chains J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-26 Abdessatar Souissi, Farrukh Mukhamedov
In the present paper, we introduce a class of F-stochastic operators on a finite-dimensional simplex, each of which is regular, ascertaining that the species distribution in the succeeding generation corresponds to the species distribution in the previous one in the long run. It is proposed a new scheme to define non-homogeneous Markov chains contingent on the F-stochastic operators and given initial
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New Insights on Non-integrability and Dynamics in a Simple Quadratic Differential System J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-21 Jingjia Qu, Shuangling Yang
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Nonlocal Symmetries, Consistent Riccati Expansion Solvability and Interaction Solutions of the Generalized Ito Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-15 Hui Wang
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Susceptible-Exposed-Infectious Model Using Markov Chains J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-06 F. M. Omar, M. A. Sohaly, H. El-Metwally
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Cattaneo-Christov Heat Flux and Thermal Radiation in MHD Nanofluid Flow over a Bi-directional Stretching/Shrinking Surface J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-05 Aamir Ali, Muhammad F. Afzaal, Faiza Tariq, Shahid Hussain
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High-Resolution Simulation of the Near-Field Pollutant Dispersion in a Nuclear Power Plant Community with High-Performance Computing J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-02-01 Bowen Tang, Hao Wang, Jianjun Xu, Jiazhen Lin, Jinxing Hu, Rongliang Chen
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Weighted Sobolev Type Inequalities in a Smooth Metric Measure Space J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-01-31 Pengyan Wang, Huiting Chang
In this paper, we obtain weighted Sobolev type inequalities with explicit constants that extend the inequalities obtained by Guo et al. (Math Res Lett 28(5):1419–1439, 2021) in the Riemannian setting. As an application, we prove some new logarithmic Sobolev type inequalities in some smooth metric measure spaces.
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Fractional Bessel Derivative Within the Mellin Transform Framework J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-01-31 Fethi Bouzeffour
In this paper, we present a fresh perspective on the fractional power of the Bessel operator using the Mellin transform. Drawing inspiration from the work of Pagnini and Runfola, we develop a new approach by employing Tato’s type lemma for the Hankel transform. As an application, we establish a new intertwining relation between the fractional Bessel operator and the fractional second derivative, emphasizing
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Remark on the Concentration Phenomenon for the Nonlinear Schrödinger Equations with a Repulsive Potential J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-01-31 Jun Qing, Jing Liu
In this paper, we study the blow-up solutions for the \(L^2\)-supercritical nonlinear Schrödinger equation with a repulsive harmonic potential. In terms of the new sharp Gagliardo–Nirenberg inequality proposed by Weinstein (Commun PDE 11:545–565, 1986), we obtain the \({\dot{H}}^{s_c}\)-concentration phenomenon of blow-up solutions for this \(L^2\)-supercritical nonlinear Schrödinger equation in the
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On the Solution of Caputo Fractional High-Order Three-Point Boundary Value Problem with Applications to Optimal Control J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-01-29 Elyas Shivanian
This research paper establishes the existence and uniqueness of solutions for a non-integer high-order boundary value problem, incorporating the Caputo fractional derivative with a non-local type boundary condition. The analytical approach involves the introduction of the fractional Green’s function. To analyze our findings effectively, we apply the Banach contraction fixed point theorem as the primary
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Analysis of Positive Weak Solutions for a Class of Fractional Laplacian Elliptic Systems of Type Kirchhoff J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2024-01-24 Rafik Guefaifia, Ali Allahem, Rashid Jan, Salah Boulaaras, Mohamed Biomy
In this research work, a sub-supersolution approach is utilized to investigate the existence and nonexistence of weak positive solution for a class of fractional Laplacian Kirchhoff type elliptic systems in bounded domains with one parameter.
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A Stable Time-Dependent Mesh Method for Generalized Credit Rating Migration Problem J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-12-13 Saad Sultan, Zhengce Zhang
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Optimal Control of Non-linear Volterra Integral Equations with Weakly Singular Kernels Based on Genocchi Polynomials and Collocation Method J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-12-11 Asiyeh Ebrahimzadeh, Elham Hashemizadeh
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Inverse Scattering Problem for the High Order Schrödinger Operator at Fixed Angles Scattering Amplitude J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-12-05 Hua Huang, Huizhen Li, Zhigang Zhou
We consider the inverse scattering problem for the higher order Schrödinger operator \(H=(-\Delta )^m+q(x)\), \(m=1,2, 3,\ldots\). We show that the scattering amplitude of H at fixed angles can uniquely determines the potential q(x) under certain assumptions, which extends the early results on this problem. The uniqueness of q(x) mainly depends on the construction of the Born approximation sequence
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Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$\bar{\partial }$$ method J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-12-07 YongHui Kuang, Bolin Mao, Xin Wang
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An RBF-FD Method for Numerical Solutions of 2D Diffusion-Wave and Diffusion Equations of Distributed Fractional Order J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-12-04 Fatemeh Taghipour, Ahmad Shirzadi, Mansour Safarpoor
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Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-11-20 Girma Adam Beyene, Fahdil Rahma , Karthikeyan Rajagopal, Abdul-Basset A. Al-Hussein, Salah Boulaaras
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On Global Classical Limit of the (Relativistic) Vlasov–Maxwell System J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-11-13 Donghao Li, Ling Liu, Hongwei Zhang
It is shown that solutions of the (relativistic) Vlasov–Maxwell system converge pointwise to solutions of the Vlasov–Poisson system globally in time at the asymptotic rate of \(c^{-1},\) as the light speed c tends to infinity, which extends the results of Asano and Ukai (Stud Math Appl 18:369–383, 1986), Degond (Math Methods Appl Sci 8:533–558, 1986) and Schaeffer (Commun Math Phys 104:403–421, 1986)
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An Investigation of Dynamical Behavior of a Wing Model J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-11-13 Lifang Cheng, Ming Liu, Dongpo Hu, Litao Zhang
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Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-11-13 Shahroud Azami, Mehdi Jafari
In this paper, we consider the homogeneous Gödel-type spacetimes and we completely classify the Ricci bi-conformal vector fields on these spaces. Also, we show that all Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes are Killing vector fields and Ricci collineation vector fields.
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Orbital Stability of Solitary Wave for Eckhaus–Kundu Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-31 Yuli Guo, Weiguo Zhang, Siyu Hong
In this paper, the orbital stability of solitary wave for Eckhaus–Kundu equation is studied. Since the equation we studied is difficult to be expressed as a standard Hamiltonian system, the Grillakis–Shatah–Strauss theory about the orbital stability of soliton solutions for nonlinear Hamiltonian systems cannot be directly applied. By constructing three new conserved quantities and using special techniques
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Multi-Soliton Solutions for the Nonlocal Kundu-Nonlinear Schrödinger Equation with Step-Like Initial Data J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-30 Ling Lei, Shou-Fu Tian, Yan-Qiang Wu
We investigate the multi-soliton solutions for the Cauchy problem of the nonlocal Kundu-nonlinear Schrödinger (NK-NLS) equation with step-like initial data. We first perform the spectral analysis on the Lax pair of the NK-NLS equation, and then establish the Riemann-Hilbert (RH) problem of the equation based on the analytic, symmetric and asymptotic properties of Jost solutions and spectral functions
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Evaluating the Impacts of Thermal Conductivity on Casson Fluid Flow Near a Slippery Sheet: Numerical Simulation Using Sixth-Kind Chebyshev Polynomials J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-19 M. M. Khader, M. M. Babatin
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Integrable Bi-Hamiltonian Systems by Jacobi Structure on Real Three-Dimensional Lie Groups J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-19 H. Amirzadeh-Fard, Gh. Haghighatdoost, A. Rezaei-Aghdam
By Poissonization of Jacobi structures on real three-dimensional Lie groups \({\textbf{G}}\) and using the realizations of their Lie algebras, we obtain integrable bi-Hamiltonian systems on \({\textbf{G}} \otimes {\mathbb {R}}\).
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Large Time Behavior and Stability for Two-Dimensional Magneto-Micropolar Equations with Partial Dissipation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-18 Ming Li, Jianxia He
This paper is devoted to the stability and decay estimates of solutions to the two-dimensional magneto-micropolar fluid equations with partial dissipation. Firstly, focus on the 2D magneto-micropolar equation with only velocity dissipation and partial magnetic diffusion, we obtain the global existence of solutions with small initial in \(H^s({\mathbb {R}}^2)\) \((s>1)\), and by fully exploiting the
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New Similarity Solutions of Magnetohydrodynamic Flow Over Horizontal Plate by Lie Group with Nonlinear Hydrodynamic and Linear Thermal and Mass Slips J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-16 M. Ferdows, Abid Hossain, M. J. Uddin, Fahiza Tabassum Mim, Shuyu Sun
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General Soliton and (Semi-)Rational Solutions of a (2+1)-Dimensional Sinh-Gordon Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-10 Sheng-Nan Wang, Guo-Fu Yu, Zuo-Nong Zhu
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Numerical Analysis of MHD Nanofluid Flow Characteristics with Heat and Mass Transfer over a Vertical Cone Subjected to Thermal Radiations and Chemical Reaction J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-10-05 W. Abbas, M. A. Ibrahim, O. Mokhtar, Ahmed M. Megahed, Ahmed A. M. Said
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On the Existence and Uniqueness of the Solution of a Nonlinear Fractional Differential Equation with Integral Boundary Condition J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-27 Elyas Shivanian
This study focuses on investigating the existence and uniqueness of a solution to a specific type of high-order nonlinear fractional differential equations that include the Rieman-Liouville fractional derivative. The boundary condition is of integral type, which involves both the starting and ending points of the domain. Initially, the unique exact solution is derived using Green’s function for the
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On the Monotonicity of Limit Wave Speed of the pgKdV Equation with Nonlinear Terms of Arbitrary Higher Degree J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-27 Zhenshu Wen
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On Meromorphic Solutions of Non-linear Differential-Difference Equations J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-26 MingXin Zhao, Zhigang Huang
In this paper, we investigate the non-existence of transcendental entire solutions for non-linear differential-difference equations of the forms $$\begin{aligned} f^{n}(z)+Q(z,f)=\beta _{1}e^{\alpha _{1}z}+\beta _{2}e^{\alpha _{2}z}+\cdots +\beta _{s}e^{\alpha _{s}z} \end{aligned}$$ and $$\begin{aligned} f^{n}(z)f^{(k)}(z)+L_d(z,f)=\sum ^{s}_{i=1}p_i(z)e^{\alpha _i{(z)}}, \end{aligned}$$ where n, s
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Some Soliton Hierarchies Associated with Lie Algebras $$\mathfrak {sp}(4)$$ and $$\mathfrak {so}(5)$$ J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-26 Baiying He, Shiyuan Liu, Siyu Gao
Based on the symplectic Lie algebra \(\mathfrak {sp}(4)\), we obtain two integrable hierarchies of \(\mathfrak {sp}(4)\), and by using the trace identity, we give their Hamiltonian structures. Then, we use \(2\times 2\) Kronecker product, and construct integrable coupling systems of one soliton equation. Next, we consider two bases of Lie algebra \(\mathfrak {so}(5)\), and we get the corresponding
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A Lie Algebroid Structure for Vector Bundles of Finite Rank Isomorphic to Tangent Bundle of Their Base Space J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-20 Akbar Dehghan Nezhad, Mina Moghaddam Zeabadi
We define a Lie algebroid structure for a class of vector bundles of rank k over a k-dimensional smooth manifold W, which are isomorphic to the tangent bundle TW. We construct an exciting example of these types of vector bundles. This example is constructed based on partial Caputo fractional derivatives. We call this vector bundle a fractional vector bundle and denote it by \({\mathscr {F}}^{\nu }
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Percolation Analysis of COVID-19 Epidemic J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-13 Ramin Kazemi, Mohammad Qasem Vahidi-Asl
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Multi-Symplectic Simulation on Soliton-Collision for Nonlinear Perturbed Schrödinger Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-09-05 Peijun Zhang, Weipeng Hu, Zhen Wang, Zhijun Qiao
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Generalized Ricci Solitons on Three-Dimensional Lorentzian Walker Manifolds J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-08-18 Vahid Pirhadi, Ghodratallah Fasihi-Ramandi, Shahroud Azami
In this paper, we characterize the generalized Ricci soliton equation on the three-dimensional Lorentzian Walker manifolds. We prove that every generalized Ricci soliton with \(C, \beta ,\mu \ne 0\) on a three-dimensional Lorentzian Walker manifold is steady. Moreover, non-trivial solutions for strictly Lorentzian Walker manifolds are derived. Finally, we give some conditions on the defining function
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A Fractional Perspective on the Dynamics of HIV, Considering the Interaction of Viruses and Immune System with the Effect of Antiretroviral Therapy J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-08-05 Tao-Qian Tang, Rashid Jan, Hassan Ahmad, Zahir Shah, Narcisa Vrinceanu, Mihaela Racheriu
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Asymptotics of Solutions for Periodic Problem for the Korteweg-de Vries Equation with Landau Damping, Pumping and Higher Order Convective Non Linearity J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-31 Beatriz Juárez-Campos, José Villela-Aguilar, Rafael Carreño-Bolaños
We study the periodic problem for the Korteweg–de Vries equation with Landau damping, linear pumping and a higher-order convective nonlinearity $$\begin{aligned} \left\{ \begin{array}{c} w_{t}+w_{xxx}-\alpha w_{xx}=\beta w+\lambda w_{x}^{2}w_{xx},\text { }x\in \Omega ,t>0,\\ w(0,x)=\psi \left( x\right) ,\text { }x\in \Omega , \end{array} \right. \end{aligned}$$ where, \(\alpha ,\beta >0,\) \(\lambda
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A Terminal Condition in Linear Bond-pricing Under Symmetry Invariance J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-28 Rivoningo Maphanga, Sameerah Jamal
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Existence and Decay Estimates of Solution for a Fourth Order Quasi-Geostrophic Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-26 Huiling Li, Jing Li, Jingjun Zhang
This paper considers a single-layer fourth order quasi-geostrophic equation in two-dimensional case. We prove the existence and uniqueness of global smooth solution to the Cauchy problem of this equation by using energy estimate. We also establish a new estimate for the nonlinear term and obtain decay estimates of the solution in \(L^{2}\).
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Numerical Investigation of Fredholm Fractional Integro-differential Equations by Least Squares Method and Compact Combination of Shifted Chebyshev Polynomials J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-18 Ahlem Benzahi, Nouria Arar, Nadjet Abada, Mohamed Rhaima, Lassaad Mchiri, Abdellatif Ben Makhlouf
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Resonance Soliton, Breather and Interaction Solutions of the Modified Kadomtsev–Petviashvili-II Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-18 Xueqing Zhang, Bo Ren
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New Exact Wave Solutions on the Complex Ginzburg–Landau Equation with Extended Rational Sin–Cos and Sinh–Cosh Method J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-18 Fei Yang, Yuanjian Lin
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Solvability of One-Dimensional Semilinear Hyperbolic Systems and Sine-Gordon Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-07 Hyungjin Huh
We study semilinear hyperbolic Eq. (1.1). We derive an explicit solution representation for some nonlinear terms F and G. For other nonlinear terms, it is shown that the solutions of the equations are related with the variable coefficient sine-Gordon equation.
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Highly Accurate Method for Boundary Value Problems with Robin Boundary Conditions J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-07-06 Hany. M. Ahmed
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On the Existence and Multiplicity of Classical and Weak Solutions of a Hamiltonian Integro-Differential System and Their Equivalence Relation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-22 Fatemeh Abdolrazaghi, Abdollah dinmohammadi
This paper is devoted to the study of existence and multiplicity of weak solutions to a Hamiltonian integro-differential system. The main tool used is the theory of min–max based on Mountain-Pass theorem. Hamiltonian integro-differential considered system is of Fredholm type and the imposed Dirichlet boundary conditions are occurred at the integral bounds. Furthermore, we demonstrate some cases in
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Non-Newtonian Slippery Nanofluid Flow Due to a Stretching Sheet Through a Porous Medium with Heat Generation and Thermal Slip J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-23 W. Abbas, Ahmed M. Megahed, M. A. Ibrahim, Ahmed A. M. Said
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Dependence of Eigenvalues of $$(2n + 1)$$ th Order Boundary Value Problems with Transmission Conditions J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-22 Qiuhong Lin
This paper deals with some boundary value problems generated by \((2n + 1)\) th order differential equation with transmission conditions. After showing that these problems generate self-adjoint operators and the eigenvalues of the problems are real, we introduce the continuous dependence and differentiable dependence of eigenvalues on parameters: coefficient functions and weight function, boundary
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A Generalized Two-Component Camassa-Holm System with Complex Nonlinear Terms and Waltzing Peakons J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-18 Xiaolin Pan, Shouming Zhou, Zhijun Qiao
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Inverse Scattering Transform for Nonlinear Schrödinger Systems on a Nontrivial Background: A Survey of Classical Results, New Developments and Future Directions J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-12 Barbara Prinari
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$$\bar{\partial }$$ -Dressing Method for a Generalized (2 + 1)-Dimensional Nonlinear Wave Equation J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-09 Zhenjie Niu, Biao Li
The main purpose of this work is solving a generalized (2 + 1)-dimensional nonlinear wave equation via \(\bar{\partial }\)-dressing method. The key to this process is to establish connection between characteristic functions and \(\bar{\partial }\)-problem. With use of Fourier transformation and Fourier inverse transformation, we obtain explicit expressions of Green’s function and give two characteristic
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Numerical Simulation by Using the Spectral Collocation Method for Williamson Nanofluid Flow Over an Exponentially Stretching Sheet with Slip Velocity J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-09 M. M. Khader, M. M. Babatin, Ahmed M. Megahed
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The Spectral Einstein functional and Kastler–Kalau–Walze type theorems J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-06-08 Yuchen Yang, Tong Wu
In this paper, on the basis of defining the spectral Einstein functional associated with the Dirac operator for manifolds with boundary, we prove Kastler–Kalau–Walze type theorem for the spectral Einstein functional associated with the Dirac operator on low-dimensional manifolds with boundary.
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Generalized Ricci Solitons on Non-reductive Four-Dimensional Homogeneous Spaces J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-05-27 Shahroud Azami, Ghodratallah Fasihi-Ramandi, Vahid Pirhadi
In the present paper, we consider the non-reductive four-dimensional homogeneous spaces and we classify homogeneous generalized Ricci solitons on these spaces. We show that any non-reductive four-dimensional homogeneous space admits the least in a generalized Ricci soliton. Also, we will prove that non-reductive four-dimensional homogeneous spaces have non-trivial Killing vector fields and these spaces
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Sub-signature Operators and the Kastler-Kalau-Walze Type Theorem for Five Dimensional Manifolds with Boundary J. Nonlinear Math. Phys. (IF 0.7) Pub Date : 2023-05-20 Hongfeng Li, Tong Wu
In this paper, we prove the Kastler-Kalau-Walze type theorems for the sub-signature operators on 5-dimensional manifolds with boundary.