【摘要】 利用动力系统的定性分析理论对D egasperis-P rocesi方程的孤立尖波解进行了研究.给出了D e-gasperis-P rocesi方程对应行波系统的相图分支,利用相图获得了孤立尖波解和周期尖波解的解析表达式,通过数值模拟给出了部分解的图像.更多还原

【Abstract】 In this paper the qualitative analysis methods of dynamical system are used to investigate the peaked wave solutions of Degasperis-Procesi equation.The phase portrait bifurcation of the traveling wave system corresponding to Degasperis-Procesi equation is given,the explicit expression of peaked solitary wave solution and periodic cusp wave solution are obtained by using the portraits,the graph of the solution is given with the numerical simulations.更多还原