论文标题
通用Camassa-Holm方程的库奇问题和定期解决方案的延续
The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation
论文作者
论文摘要
我们考虑一个三参数的非线性方程式家族，具有$（p+1） - $订购非线性。这样的家庭包括特定成员著名的$ b-$方程，它包含了著名的Camassa-Holm方程。对于参数的某些选择，我们建立了全局存在结果，并显示了防止解决方案波浪破裂的情况。另外，我们探索了某些参数值的唯一延续属性。
We consider a three-parameter family of non-linear equations with $(p+1)-$order non-linearities. Such family includes as a particular member the well-known $b-$equation, which encloses the famous Camassa-Holm equation. For certain choices of the parameters we establish a global existence result and show a scenario that prevent the wave breaking of solutions. Also, we explore unique continuation properties for some values of the parameters.
