当前位置: X-MOL 学术Arab. J. Sci. Eng. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Bright and Singular Optical Solitons in Nonlinear Negative-Index Materials with Quadratic–Cubic Nonlinearity
Arabian Journal for Science and Engineering ( IF 2.6 ) Pub Date : 2021-01-05 , DOI: 10.1007/s13369-020-05194-y
Hadi Rezazadeh , Reza Abazari , Mibaile Justin , Ahmet Bekir , Alper Korkmaz

Generally, metamaterials are any material with a special properties that are not in nature. Among them, the optical metamaterial is a type of electromagnetic metamaterial, that interacts with light or visible wavelengths. The mathematical modeling of this interaction is usually introduce by perturbed Schrödinger equation. The aim of this paper is to study the perturbed Schrödinger equation model of optical metamaterials for obtaining their solitary wave solutions. To obtain the solitary wave solutions of governing equation, we firstly reduced the equation to an ordinary differential equation (ODE), then multiplication of this equation with the derivative of the unknown function leads to a well known ODE. Secondly, integrating this resultant equation for some particular choices of constant coefficients gives many solutions in different classes. Many of these solutions are generalized forms of the solutions reported in the literature. Elliptic and triangular solutions are constructed in various forms besides bright and singular type soliton solutions.



中文翻译:

具有二次三次非线性的非线性负折射率材料中的明亮和奇异光学孤子

通常,超材料是任何非自然界具有特殊性质的材料。其中,光学超材料是电磁超材料的一种,与光或可见波长相互作用。通常通过扰动的薛定er方程来介绍这种相互作用的数学模型。本文的目的是研究光学超材料的扰动薛定ding方程模型,以获得其孤立波解。为了获得控制方程的孤立波解,我们首先将该方程简化为一个常微分方程(ODE),然后将该方程与未知函数的导数相乘得到一个众所周知的ODE。其次,将所得结果方程用于常数系数的某些特定选择的积分给出了不同类别的许多解决方案。这些解决方案中的许多是文献中报道的解决方案的一般形式。除了明亮和奇异类型的孤子解,椭圆和三角形解还以各种形式构造。

更新日期:2021-01-05
down
wechat
bug