Elsevier

Results in Physics

Volume 27, August 2021, 104517
Results in Physics

Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation

https://doi.org/10.1016/j.rinp.2021.104517Get rights and content
Under a Creative Commons license
open access

Highlights

  • The Landau-Ginsburg-Higgs and Riemann wave equations are used to reveal phenomena..

  • The impact of linearity-nonlinearity and parameters on wave profiles are evaluated.

  • Bright, dark, compacton, peakon, periodic, and other solitons have been extracted.

  • 3D and contour plots are depicted to illustrate profiles of the phenomena.

Abstract

The nonlinear Riemann wave equations (RWEs) and the Landau-Ginsburg-Higgs (LGH) equation are related to plasma electrostatic waves, ion-cyclotron wave electrostatic potential, superconductivity, and drift coherent ion-cyclotron waves in centrifugally inhomogeneous plasma. In this article, the interactions between the maximum order linear and nonlinear factors are balanced to compute realistic soliton solutions to the formerly stated equations in terms of hyperbolic functions. The linear and nonlinear effects rheostat the structure of the wave profiles, which vary in response to changes in the subjective parameters combined with the solutions. The established solutions to the aforementioned models using the extended tanh scheme are descriptive, typical, and consistent, and include standard soliton shapes such as bright soliton, dark soliton, compacton, peakon, periodic, and others that can be used to analyze in ion-acoustic and magneto-sound waves in plasma, homogeneous, and stationary media, particularly in the propagation of tidal and tsunami waves.

Keywords

Riemann wave equations
Landau-Ginsburg-Higgs equation
The extended tanh-function scheme
Solitary wave solutions

Cited by (0)