Modified nonlinearly dispersive m K (m, n, k) equations:: II.: Jacobi elliptic function solutions

被引:19
作者
Yan, ZY [1 ]
机构
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
关键词
m K(m; n; k); equation; elliptic function; solitary wave solution; periodic wave solution;
D O I
10.1016/S0010-4655(02)00851-2
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Recently we have obtained compacton solutions and solitary pattern solutions of the modified nonlinearly dispersive KdV equations (simply called mK (m, n, k) equations). In this paper the in K (m, n, k) equations are investigated again. By using some transformations we give their some Jacobi elliptic function solutions. When the modulus mu --> 1 or 0, some of the obtained Jacobi elliptic function solutions degenerate as solitary wave solution. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:1 / 16
页数:16
相关论文
共 20 条
[11]   New families of solitons with compact support for Boussinesq-like B(m, n) equations with fully nonlinear dispersion [J].
Yan, ZY .
CHAOS SOLITONS & FRACTALS, 2002, 14 (08) :1151-1158
[12]   Modified nonlinearly dispersive mK(m, n, k) equations:: I.: New compacton solutions and solitary pattern solutions [J].
Yan, ZY .
COMPUTER PHYSICS COMMUNICATIONS, 2003, 152 (01) :25-33
[13]  
Yan ZY, 2003, COMMUN THEOR PHYS, V39, P144
[14]  
Yan ZY, 2002, COMMUN THEOR PHYS, V37, P641
[15]  
Yan ZY, 2002, COMMUN THEOR PHYS, V38, P143
[16]  
Yan ZY, 2002, COMMUN THEOR PHYS, V38, P400
[17]   Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations [J].
Yan, ZY .
COMPUTER PHYSICS COMMUNICATIONS, 2002, 148 (01) :30-42
[18]  
Yan ZY, 2002, COMMUN THEOR PHYS, V37, P27
[19]  
Yan ZY, 2002, COMMUN THEOR PHYS, V37, P269
[20]  
YAN ZY, 2000, CHAOS SOLITON FRACT, V15, P575