TITLE:
Bifurcations of Travelling Wave Solutions for the B(m,n) Equation
AUTHORS:
Minzhi Wei, Yujian Gan, Shengqiang Tang
KEYWORDS:
Solitary Wave Solution; Periodic Cusp Wave Solution; Periodic Wave Solution; Smoothness of Wave; B(m, n) Equation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.2,
March
25,
2014
ABSTRACT:
Using the
bifurcation theory of dynamical systems to a class of nonlinear fourth order
analogue of the B(m,n) equation, the existence of solitary wave solutions, periodic
cusp wave solutions, compactons solutions, and uncountably infinite many smooth
wave solutions are obtained. Under different parametric conditions, various sufficient
conditions to guarantee the existence of the above solutions are given. Some exact
explicit parametric representations of the above waves are determined.