Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation

被引：14

作者：

Geng, Xianguo ^{[1
]}

He, Guoliang ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 09期

关键词：

Satsuma-Hirota coupled equation; Darboux transformation; Explicit solutions; SOLITON-EQUATIONS;

D O I：

10.1016/j.amc.2010.03.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Darboux transformation for the Satsuma-Hirota coupled equation is obtained with the help of the gauge transformation between the Lax pairs. As an application of the Darboux transformation, we give some new explicit solutions, including rational solutions, soliton solutions and periodic solutions and others, of the Satsuma-Hirota coupled equation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2628 / 2634

页数：7

共 15 条

[1]

Ablowitz M., 1981, SOLITONS INVERSE SCA, DOI [10.1137/1.9781611970883, DOI 10.1137/1.9781611970883]

[2]

[Anonymous], 1980, THEORY SOLITONS INVE

[3]

Belokolos E. D., 1994, Algebro-geometric approach to nonlinear integrable equations

[4]

Drinfeld V G., 1981, Sov. Math. Dokl, V23, P457

[5] Darboux transformation and soliton solutions for generalized nonlinear Schrodinger equations [J].

Geng, XG ;

Tam, HW .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (05) :1508-1512

[6] DARBOUX TRANSFORMATION OF THE DISCRETE ABLOWITZ-LADIK EIGENVALUE PROBLEM [J].

GENG, XG .

ACTA MATHEMATICA SCIENTIA, 1989, 9 (01) :21-26

[7]

GU CH, 1994, LETT MATH PHYS, V32, P1, DOI 10.1007/BF00761119

[8] SOLITON-SOLUTIONS OF A COUPLED KORTEWEG-DEVRIES EQUATION [J].

HIROTA, R ;

SATSUMA, J .

PHYSICS LETTERS A, 1981, 85 (8-9) :407-408

[9]

Hirota R., 2004, The Direct Method in Soliton Theory

[10] ON A NEW DARBOUX TRANSFORMATION FOR THE CONSTRUCTION OF EXACT-SOLUTIONS OF THE SCHRODINGER-EQUATION [J].

LEVI, D .

INVERSE PROBLEMS, 1988, 4 (01) :165-172

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