摘要
主要研究多分量退化的含有立方项的CH型方程,并证明了其可积性:Lax表示,双哈密顿结构,以及递推算子.特别地,得到了一个退化的两分量的Novikov方程,并给出了其有限个拐点的奇性解.
In this paper, we propose a multi-component degenerate CH-type system with cubic nonlinearity. This system is shown to be integrable with admitting Lax pair, bi-Hamiltonian structure and recursion operator. In particular, the two-component degenerate Novikov equation is mainly concerned and its exact singular solutions with a finite number of corners are obtained.
出处
《纯粹数学与应用数学》
2016年第2期169-181,共13页
Pure and Applied Mathematics
基金
国家自然科学基金(11471174)
关键词
双哈密顿结构
多分量CH型方程
极限约束
奇性解
bi-Hamiltonian structure
short-wave limit
exact singular solution
multi-component Camassa-Holm type equation
