Optical solitons and periodic solutions of the (2+1)-dimensional nonlinear Schrodinger's equation

被引：30
作者：
Feng, Dahe [1 ]
Jiao, Jianjun [1 ]
Jiang, Guirong [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
来源：
PHYSICS LETTERS A | 2018年 / 382卷 / 32期
基金：
中国国家自然科学基金;
关键词：
(2+1)-dimensional Schrodinger's equation; Jacobian elliptic equation; Bright soliton; Dark soliton; Periodic solution; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY;
D O I：
10.1016/j.physleta.2018.05.028
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, we consider the (2 + 1)-dimensional nonlinear Schrodinger's equation. With the aid of the Jacobian elliptic equation, we derive the exact bright soliton, dark soliton, singular soliton and periodic solutions of this equation expressed in terms of trigonometric functions, hyperbolic functions and Jacobian elliptic functions, respectively. Finally, for certain parametric values, we plot three dimensional graphics of modulus, real and imaginary parts of some solutions, which can help one better understand their dynamical behavior via their graphics analysis. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：2081 / 2084
页数：4
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