Topological Soliton and Other Exact Solutions to KdV-Caudrey-Dodd-Gibbon Equation

被引:21
作者
Biswas, Anjan [1 ]
Ebadi, Ghodrat [2 ]
Triki, Houria [3 ]
Yildirim, Ahmet [4 ,5 ]
Yousefzadeh, Nazila [2 ]
机构
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] Univ Tabriz, Dept Math Sci, Tabriz 5166614766, Iran
[3] Badji Mokhtar Univ, Radiat Phys Lab, Dept Phys, Anaba 2300, Algeria
[4] Ege Univ, Dept Math, TR-35100 Izmir, Turkey
[5] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
关键词
KOTERA-SAWADA EQUATION; CDG EQUATION;
D O I
10.1007/s00025-011-0226-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the KdV-Caudrey-Dodd-Gibbon equation. The modified F-expansion method, exp-function method as well as the G'/G method are used to extract a few exact solutions to this equation. Later, the ansatz method is used to obtain the topological 1-soliton solution to this equation. The constraint conditions are also obtained that must remain valid for the existence of these solutions.
引用
收藏
页码:687 / 703
页数:17
相关论文
共 10 条
[1]  
Abdollahzadeh M., 2010, INT J AP MAT COM-POL, V2, P81
[2]   On quasi-periodic solutions of the 2+1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation [J].
Cao, CW ;
Wu, YT ;
Geng, XG .
PHYSICS LETTERS A, 1999, 256 (01) :59-65
[3]   BACKLUND-TRANSFORMATIONS FOR THE CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION AND ITS LAMBDA-MODIFIED EQUATION [J].
CHAN, WL ;
ZHENG, YK .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (09) :2065-2068
[4]   SOME RESULTS ON THE CAUDREY-DODD-GIBBON-KOTERA-SAWADA EQUATION [J].
HU, XB ;
LI, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (14) :3205-3212
[5]   A study on the bilinear Caudrey-Dodd-Gibbon equation [J].
Jiang, Bo ;
Bi, Qinsheng .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4530-4533
[6]  
LOU SY, 1993, PHYS LETT A, V175, P23
[7]   ON RECIPROCAL PROPERTIES OF THE CAUDREY-DODD-GIBBON AND KAUP-KUPERSHMIDT HIERARCHIES [J].
ROGERS, C ;
CARILLO, S .
PHYSICA SCRIPTA, 1987, 36 (06) :865-869
[10]   Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method [J].
Xu, Yu-Guang ;
Zhou, Xin-Wei ;
Yao, Li .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) :70-73