Exact travelling wave solutions for some complex nonlinear partial differential equations

被引：0

作者：

Taghizadeh, N. ^{[1
]}

Mirzazadeh, M. ^{[2
]}

Eslami, M. ^{[3
]}

Moradi, M. ^{[2
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Math, POB 1914, Rasht, Iran

[2] Univ Guilan, Dept Engn Sci, Fac Technol & Engn, East Guilan, Rudsar Vajargah 4489163157, Iran

[3] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2014年 / 2卷 / 01期

关键词：

G '/G-expansion method; Kundu-Eckhaus equation; Derivative nonlinear Schrodingers equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper reflects the implementation of a reliable technique which is called (G'/G) expansion method for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivative nonlinear Schrodingers equation. This method is a powerful tool for searching exact travelling solutions in closed form

引用

页码：11 / 18

页数：8

共 50 条

[41] A class of traveling wave solutions to some nonlinear partial differential equations
Bai, CL
[J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (02) : 147 - 150
[42] Solitary wave solutions to some nonlinear conformable partial differential equations
Sıdıka Şule Şener Kılıç
Ercan Çelik
Hasan Bulut
[J]. Optical and Quantum Electronics, 2023, 55
[43] Exact solutions for nonlinear partial fractional differential equations
Khaled A.Gepreel
Saleh Omran
[J]. Chinese Physics B, 2012, (11) : 34 - 40
[44] Exact travelling wave solutions for some nonlinear (N+1)-dimensional evolution equations
Lee, Jonu
Sakthivel, Rathinasamy
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2012, 31 (02): : 219 - 243
[45] Exact solutions for nonlinear partial fractional differential equations
Gepreel, Khaled A.
Omran, Saleh
[J]. CHINESE PHYSICS B, 2012, 21 (11)
[46] Bifurcations and exact bounded travelling wave solutions for a partial differential equation
He, Bin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 364 - 371
[47] New exact travelling wave solutions to three nonlinear evolution equations
Sirendaoreji
[J]. Applied Mathematics-A Journal of Chinese Universities, 2004, 19 (2) : 178 - 186
[48] A new auxiliary equation and exact travelling wave solutions of nonlinear equations
Sirendaoreji
[J]. PHYSICS LETTERS A, 2006, 356 (02) : 124 - 130
[49] NEW EXACT TRAVELLING WAVE SOLUTIONS TO THREE NONLINEAR EVOLUTION EQUATIONS
Sirendaoreji Dept of Math.
[J]. Applied Mathematics:A Journal of Chinese Universities, 2004, (02) : 178 - 186
[50] Explicit exact solutions for some nonlinear partial differential equations with nonlinear terms of any order
Li, B
Chen, Y
Zhang, HQ
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2003, 53 (04) : 283 - 295

← 1 2 3 4 5 →