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Solitons dynamics in optical metamaterial with quadratic–cubic nonlinearity using modified extended direct algebraic method
Optik ( IF 3.1 ) Pub Date : 2021-06-17 , DOI: 10.1016/j.ijleo.2021.166851
Islam Samir , Niveen Badra , Hamdy M. Ahmed , Ahmed H. Arnous

In this article, the modified direct algebraic method is applied for the perturbed nonlinear Schrödinger equation (NLSE) describing the dynamics of optical solitons in metamaterials, in the presence of quadratic–cubic nonlinearity. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic wave solutions, periodic wave solutions, plane wave solutions, Jacobi elliptic wave solutions, exponential wave solutions, hyperbolic wave solutions and Weierstrass elliptic solutions. Moreover, for the physical illustration of the obtained solutions, 3D graphs are presented.



中文翻译:

使用改进的扩展直接代数方法在具有二次三次非线性的光学超材料中的孤子动力学

在本文中,改进的直接代数方法应用于描述超材料中光学孤子动力学的微扰非线性薛定谔方程 (NLSE),存在二次三次非线性。提取各种类型的解,例如亮孤子、奇异孤子、暗孤子、奇异周期波解、周期波解、平面波解、雅可比椭圆波解、指数波解、双曲波解和魏尔斯特拉斯椭圆解。此外,为了对所获得的解决方案进行物理说明,还提供了 3D 图形。

更新日期:2021-06-18
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