Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

• 作者: Minzhi Wei Shengqiang Tang Yujian Gan
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Solitary WAVE SOLUTION PERIODIC Cusp WAVE SOLUTION PERIODIC WAVE SOLUTION Smoothness of WAVE B(m n) EQUATION
• 年，卷（期）: 2014,（2）
• 页码范围: 104-118
• 页数: 15页
• 分类号: O1

摘要

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.