广义Camassa-Holm方程的孤立尖波

Peakons in a Generalized Camassa-Holm Equation

从数学的角度研究了广义Camassa -Holm方程在a<0 ,k∈R ,m∈N 和积分常数为 0时的情形 .用定性分析的方法给出了相图分枝 。

From the mathematical point of view,study the peakons and their bifurcation of the following generalized Camassa Holm equation with a<0,k∈R,m∈N and the integral contant taken as zero.Using the bifurcation method of the phase plane,first the phase portrait bifurcation is given,then the existent conditions and integral expressions of peakons are given.