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.
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.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第3期261-266,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10071033)
江苏省自然科学基金(BK2002003)
江苏省高校自然科学研究计划(05KJB110018)
