Peakon, Solitary and Smooth Periodic Wave Solutions for a Modification of theK(2,2)Equation

[摘要] We consider a modification of theK(2,2)equationut=2uuxxx+2kuxuxx+2uuxusing the bifurcation method of dynamical systems and the method of phase portraits analysis. From dynamic point of view, some peakons, solitary,and smooth periodic waves are found and their exact parametric representations are presented. Also, the coexistence of peakon and solitary wave solutions is investigated.

[学科分类] 应用数学