Optical solitons in nano-fibers with Kundu-Eckhaus equation by Lie symmetry analysis

被引：0

作者：

Kumar, Sachin ^{[1
]}

Zhou, Qin ^{[2
]}

Biswas, Anjan ^{[3
,4
]}

Belic, Milivoj ^{[5
]}

机构：

[1] Cent Univ Punjab, Sch Basic & Appl Sci, Ctr Math & Stat, City Campus,Mansa Rd, Bathinda 151001, India

[2] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China

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

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

[5] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

来源：

OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS | 2016年 / 10卷 / 1-2期

关键词：

Solitons; Kundu-Eckhaus (KE) equation; Lie classical method;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper studies similarity solutions of Kundu-Eckhaus (KE) equation that models wave propagation in a dispersive medium such as in optical waveguide. Lie classical method is applied to obtain symmetries of KE equation and then using these symmetries reduction to ordinary differential equations (ODEs) is obtained. The corresponding exact solutions of KE equation are also presented.

引用

页码：21 / 24

页数：4

共 9 条

[1] NONLINEAR EVOLUTION-EQUATIONS, RESCALINGS, MODEL PDES AND THEIR INTEGRABILITY .1. [J].