Degasperis-Procesi方程的周期尖波解和单孤子解  

Periodic Cusp Wave Solutions and Single-solutions for Degasperis-procesi Equation

作　　者：余丽琴[1] 田立新[1] 

机构地区：[1]江苏大学非线性科学研究中心,镇江212013

出　　处：《工程数学学报》2005年第6期1133-1136,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10071033)江苏省自然科学基金(BK2002003).

摘　　要：用动力系统的定性分析理论和分支方法,对带有色散项的Degasperis-Proces方程的周期尖波解和单孤子解进行了研究。给出了Degasperis-Procesi方程对应行波系统的相图分支,利用相图从两种不同方式构造了孤立尖波解的解析表达式,并通过数值模拟给出了部分解的图像。In this paper the qualitative analysis methods and the bifurcation method of dynamical systems are used to investigate the periodic cusp wave solutions and single-solutions of Degasperis-Procesi equation with a dispersion term. The phase portrait bifurcation of the traveling wave system corresponding to Degasperis-Procesi equation solution is derived from two different ways by through numerical simulations. is given, the explicit expression of peaked solitary wave using the portraits, the graph of some solutions is given

关 键 词：Degasperis-Proces方程 相图分支 孤立尖波解 

分 类 号：O175.14[理学—数学]