论文标题
具有二次和立方非线性的Camassa-Holm型方程的不变和断裂分析
Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic nonlinearities
论文作者
论文摘要
考虑了具有耗散的Camassa-Holm类型的非本地进化方程。涉及方程式的凯奇问题解决方案的局部良好性是通过Kato的方法确定的，并且还描述了波浪破坏场景。为了证明这种结果，我们首先为方程式构建了保守的电流，并从中构造了保守数量。
A non-local evolution equation of the Camassa-Holm type with dissipation is considered. The local well-posedness of the solutions of the Cauchy problem involving the equation is established via Kato's approach and the wave breaking scenario is also described. To prove such result, we firstly construct conserved currents for the equation and from them, conserved quantities.
