New solutions to mKdV equation

被引：40
作者：
Fu, ZT [1 ]
Liu, SD [1 ]
Liu, SK [1 ]
机构：
[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
来源：
PHYSICS LETTERS A | 2004年 / 326卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
projective Riccati equations; mKdV equation; travelling wave solution; solitary wave solution;
D O I：
10.1016/j.physleta.2004.04.059
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A transformation is introduced on the basis of the projective Riccati equations. and it is applied as an intermediate in expansion method to solve mKdV equation. Many kinds of travelling wave solutions including solitary wave solution are obtained, in which some are found for the first time. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：364 / 374
页数：11
相关论文
共 22 条
[1]  
Ablowitz MJ., 1981, SOLITONS INVERSE SCA, V4
[2]   Exact solutions for nonlinear partial differential equation: a new approach [J].
Bai, CL .
PHYSICS LETTERS A, 2001, 288 (3-4) :191-195
[3]  
BOWMAN F, 1959, INTRO ELLIPTIC FUNCT
[4]  
CONTE R, 1992, J PHYS A, V25, P2609
[5]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[6]   New transformations and new approach to find exact solutions to nonlinear equations [J].
Fu, ZT ;
Liu, SK ;
Liu, SD .
PHYSICS LETTERS A, 2002, 299 (5-6) :507-512
[7]   New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations [J].
Fu, ZT ;
Liu, SK ;
Liu, SD ;
Zhao, Q .
PHYSICS LETTERS A, 2001, 290 (1-2) :72-76
[8]   EXACT N-SOLITON SOLUTIONS OF WAVE-EQUATION OF LONG WAVES IN SHALLOW-WATER AND IN NONLINEAR LATTICES [J].
HIROTA, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) :810-814
[9]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291
[10]   Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J].
Liu, SK ;
Fu, ZT ;
Liu, SD ;
Zhao, Q .
PHYSICS LETTERS A, 2001, 289 (1-2) :69-74
123