BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR THE ONE-DIMENSIONAL GENERALIZED BENJAMIN-BONA-MAHONY EQUATION

Guoxiang Luo (P. R. China) and Shengqiang Tang (P. R. China)

Received January 28, 2008

References:

[1] S. N. Chow and J. K. Hale, Method of Bifurcation Theory, Springer-Verlag, New York, 1981. [2] Li Jibin and Liu Zhenrong, Smooth and nonsmooth travelling waves in a nonlinearly dispersive equation, Appl. Math. Modelling 25 (2000), 41-56. [3] Li Jibin and Liu Zhenrong, Travelling wave solutions for a class of nonlinear dispersive equations, Chinese Ann. Math. 23B (2002), 397-418. [4] P. Rosenau, On nonanalytic solitary waves formed by a nonlinearly dispersion, Phys. Lett. A 230 (1997), 305-318. [5] A. M. Wazwaz, Exact solution with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation, Commun. Nonlinear Sci. Numer. Simul. 10 (2005), 855-867.

Keywords and phrases: solitary wave solution, periodic cusp wave solutions, periodic wave solution, the one-dimensional generalized Benjamin-Bona-Mahony equation.