A method for constructing exact solutions of nonlinear evolution equation with variable coefficients

被引：17
作者：
Taogetusang [1 ]
Sirendaoerji [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
来源：
ACTA PHYSICA SINICA | 2009年 / 58卷 / 04期
基金：
中国国家自然科学基金;
关键词：
auxiliary equation; function transformation; nonlinear evolution equation with variable coefficients; exact solution; JACOBI ELLIPTIC FUNCTION; SOLITARY WAVE SOLUTIONS; TANH-FUNCTION METHOD; BACKLUND TRANSFORMATION; EXPANSION METHOD; KDV EQUATION; LAX PAIR;
D O I：
10.7498/aps.58.2121
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A function transformation method for constructing exact solutions of the variable coefficient nonlinear evolution equations is proposed. The method together with the the second kind of elliptic equation and the symbolic computation system Mathematica is used to construct the new exact Jacobi elliptic function solutions, the degenerated soliton-like solutions and trigonometric function solutions of the composed KdV equation with forced variable coefficients.
引用
收藏
页码：2121 / 2126
页数：6
相关论文
共 27 条
[1]  
Chen Y, 2004, COMMUN THEOR PHYS, V41, P1
[2]  
Fu ZT, 2004, COMMUN THEOR PHYS, V42, P343
[3]  
Fu ZT, 2004, APPL MATH MECH-ENGL, V25, P73
[4]  
Fu ZT, 2003, COMMUN THEOR PHYS, V39, P531
[5]   Auto-Backlund transformation and analytic solutions for general variable-coefficient KdV equation [J].
Hong, WY ;
Jung, YD .
PHYSICS LETTERS A, 1999, 257 (3-4) :149-152
[6]   Improved tanh-function method and the new exact solutions for the general variable coefficient KdV equation and MKdV equation [J].
Li, DS ;
Zhang, HQ .
ACTA PHYSICA SINICA, 2003, 52 (07) :1569-1573
[7]  
Li HM, 2005, CHINESE PHYS, V14, P251, DOI 10.1088/1009-1963/14/2/006
[8]  
Li HM, 2003, COMMUN THEOR PHYS, V39, P395
[9]   Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients [J].
Liu, CS .
ACTA PHYSICA SINICA, 2005, 54 (10) :4506-4510
[10]   Lame function and invariants of multi-order exact solutions among nonlinear evolution equations [J].
Liu, SK ;
Chen, H ;
Fu, ZT ;
Liu, SD .
ACTA PHYSICA SINICA, 2003, 52 (08) :1842-1847
123