|
THE EXACT TRAVELlING WAVE SOLUTIONS FOR A MODIFIED COUPLED BOUSSINESQ WATER SYSTEM
Yin Qing (P. R. China), Shaoyong Lai (P. R. China) and B. Wiwatanapataphee (Thailand)
Received September 20, 2006; Revised October 25, 2006
References:
|
[1] G. M. A. Allen and G. Rowlands, On the transverse instabilities of solitary waves, Phys. Lett. A. 235 (1997), 145-149.
[2] A. Elgarayhi and A. Elhanbaly, New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations, Phys. Lett. A. 343 (2005), 85-89.
[3] E. G. Fan and H. Q. Zhang, New exact solutions for a system of coupled KdV equation, Phys. Lett. A. 245 (1998), 389-392.
[4] E. G. Fan and H. Q. Zhang, A note on the homogeneous balance method, Phys. Lett. A. 246 (1998), 403-406.
[5] E. Fan, Extended tanh-function method and its application to nonlinear equations, Phys. Lett. A. 277 (2000), 212-220.
[6] E. Fan, Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MkdV equation, Phys. Lett. A. 282 (2001), 18-22.
[7] D. Kaya, The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation, Phys. Lett. A. 348 (2006), 244-250.
[8] S. Lai and Y. H. Wu, The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation, Disc. Cont. Dynam. Sys.-B. 3(3) (2003), 401-408.
|
|
|
| Keywords and phrases:
modified Boussinesq water system, travelling wave solution, the extended sinh-cosh technique |
|
|
|
Communicated by Yong Hong Wu |
|
|