Solutions of solitary-wave for the variable-coefficient nonlinear Schrodinger equation with two power-law nonlinear terms

被引：3

作者：

Xin, Le ^{[1
]}

Kong, Ying ^{[1
]}

Han, Lijia ^{[1
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2018年 / 32卷 / 28期

关键词：

Solitary waves; variable-coefficient; nonlinear Schrodinger equation; similarity transformation; power-law nonlinear terms; HIGHER-ORDER; ROGUE WAVES; BREATHER WAVE; TIME; MODULATION; STABILITY; DYNAMICS; SOLITONS; BRIGHT;

D O I：

10.1142/S0217979218503101

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, we consider the variable-coefficient power-law nonlinear Schrodinger equations (NLSEs) with external potential as well as the gain or loss function. First, we generalize the similarity transformation method, which converts the variable coefficient NLSE with two power-law nonlinear terms to the autonomous dual-power NLS equation with constant coefficients. Then, we obtain the exact solutions of the variable-coefficient NLSE. Moreover, we discuss the solitary-wave solutions for equations with vanishing potential, space-quadratic potential and optical lattice potential, which are applied to many branches of physics.

引用

页数：11

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