Soliton solutions to resonant nonlinear Schrodinger's equation with time-dependent coefficients by trial solution approach

被引：165

作者：

Mirzazadeh, Mohammad ^{[1
]}

Arnous, A. H. ^{[2
]}

Mahmood, M. F. ^{[3
]}

Zerrad, Essaid ^{[4
]}

Biswas, Anjan ^{[5
,6
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Math, Rasht, Iran

[2] Higher Inst Engn, Dept Engn Math & Phys, El Shorouk, Egypt

[3] Howard Univ, Dept Math, Washington, DC 20059 USA

[4] Delaware State Univ, Dept Phys & Engn, Dover, DE 19901 USA

[5] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[6] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR DYNAMICS | 2015年 / 81卷 / 1-2期

关键词：

Solitons; Integrability; Madelung fluid; POWER-LAW NONLINEARITY; OPTICAL SOLITONS;

D O I：

10.1007/s11071-015-1989-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the resonant nonlinear Schrodinger's equation is studied with four forms of nonlinearity and time-dependent coefficients. The trial solution method is employed to solve the governing equations. Solitons and singular periodic solutions are obtained. The constraint conditions naturally emerge from the solution structure that are needed for its existence.

引用

页码：277 / 282

页数：6

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