ABSTRACT

We consider a nonlinear shallow water equation. An inequality condition for wave breaking has been established for the Cauchy problem with periodic domain. Numerical computation confirms the result, as breaking happens for waves with a chosen initial profile satisfying the theoretical condition for wave breaking.

中文翻译：

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非线性浅水方程周期解的破波

摘要

我们考虑一个非线性浅水方程。建立了周期域柯西问题的破波不等式条件。数值计算证实了这一结果，因为具有所选初始轮廓的波浪发生破坏，满足波浪破坏的理论条件。