Symbolic computation and construction of new exact travelling wave solutions to (3+1)-dimensional KP equation

被引:0
作者
Wen Xiao-Yong [1 ]
机构
[1] Beijing Informat Sci & Technol Univ, Coll Sci, Dept Math, Beijing 100192, Peoples R China
关键词
(3+1)-dimensional KP equation; auxiliary equation; Jacobi elliptic function; exact solution;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
With the aid of symbolic computation system Maple, many exact solutions for the (3+1)-dimensional KP equation are constructed by introducing an auxiliary equation and using its new Jacobi elliptic function solutions, where the new solutions are also constructed. When the modulus m -> 1 and m -> 0, these solutions reduce to the corresponding solitary evolution solutions and trigonometric function solutions.
引用
收藏
页码:1235 / 1240
页数:6
相关论文
共 17 条
[1]  
Ablowitz M.J., 1991, SOLITONS NONLINEAR E
[2]   New explicit solitary wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation [J].
Chen, Y ;
Yan, ZY ;
Zhang, H .
PHYSICS LETTERS A, 2003, 307 (2-3) :107-113
[3]  
Dou FQ, 2006, COMMUN THEOR PHYS, V45, P1063
[4]   Connections among homogeneous balance method, Weiss-Tabor-Carnevale method and Clarkson-Kruskal method [J].
Fan, EG .
ACTA PHYSICA SINICA, 2000, 49 (08) :1409-1412
[5]   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
[6]   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
[7]  
Li HM, 2002, COMMUN THEOR PHYS, V37, P561
[8]   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
[9]   Abundant Jacobi elliptic function solutions of nonlinear evolution equations [J].
Lü, DZ .
ACTA PHYSICA SINICA, 2005, 54 (10) :4501-4505
[10]  
Miura MR., 1978, Backlund Transformation