Explicit Solutions of the Nonlinear Schrodinger-Type Equation

被引：0
|
作者：
Syzdykova, Arailym [1 ]
Kudaibergenov, Gaziz [1 ]
机构：
[1] LN Gumilyov Eurasian Natl Univ, Astana, Kazakhstan
来源：
NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES, NTADES 2023 | 2024年 / 449卷
关键词：
Jacobi elliptic function method; Periodic wave; Soliton; Traveling wave;
D O I：
10.1007/978-3-031-53212-2_16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we focus on the construction of explicit solutions of the nonlinear Schrodinger-type equation, which has various applications in physics. To obtain different kinds of exact solutions the Jacobi elliptic function method is applied. As a result, abundant new exact solutions are received including Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions, etc. Furthermore, for certain parameter values, the obtained solutions are presented in 2D and 3D plots. The method can be also applied to other nonlinear partial differential equations.
引用
收藏
页码：179 / 187
页数：9
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