Exact soliton solutions of the variable coefficient KdV-MKdV equation with three arbitrary funtions

被引：26

作者：

Yan, ZY ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China

来源：

ACTA PHYSICA SINICA | 1999年 / 48卷 / 11期

关键词：

D O I：

10.7498/aps.48.1957

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, first, by using a new transformation, the variable coefficient KdV-MKdV equation is reduced to a third-order nonlinear ordinary differential equation (NODE),and then several exact soliton-solutions for the variable coefficient KdV-MKdV equatioin are obtained through considering this NODE. The method can be also used to solve other nonlinear equations, such as the variable coefficient KP equation, sine-Gordon equation and so on.

引用

页码：1957 / 1961

页数：5

共 7 条

[1]

Ablowitz M A., 1991, Solitons, nonlinear evolution equations and inverse scattering, DOI DOI 10.1017/CBO9780511623998

[2]

Dodd R. K., 1982, Solitons and nonlinear wave equations

[3]

LIU XQ, 1998, APPL MATH J CHINESE, V13, P25

[4]

Lou Sen-Yue, 1992, Acta Physica Sinica, V41, P182

[5]

WU W, 1994, POLYNOMIAL EQUATIONS

[6]

WU WJ, 1986, KEXUE TONGBAO, V31, P1

[7] PAINLEVE PROPERTY, BACKLUND TRANSFORMATION, LAX PAIR AND SOLITON-LIKE SOLUTION FOR A VARIABLE-COEFFICIENT KP EQUATION [J].

ZHU, ZN .

PHYSICS LETTERS A, 1993, 182 (2-3) :277-281

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