几种浅水模式的守恒量、延拓和紧支撑解
Conserved quantities, continuation and compactly supported solutions of some shallow water models
摘要：
证明了在（1+1）时空的开集上消失的Dullin-Gottwald-Holm方程的强解恒为零.为了做到这一点，我们使用的几何方法的基础上的守恒量的方程，以证明其解决方案的一个唯一的延续结果。我们表明，这个想法可以应用到一个大类的Camassa-Holm型方程。
英文摘要：
A proof that strong solutions of the Dullin-Gottwald-Holm equation vanishing on an open set of the (1+1) space-time are identically zero is presented. In order to do it, we use a geometrical approach based on the conserved quantities of the equation to prove a unique continuation result for its solutions. We show that this idea can be applied to a large class of equations of the Camassa-Holm type.
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