一个组合方程的单孤子解和周期尖波解  

Peakons and periodic cusp wave solutions of a combination equation

作　　者：杨海霞[1,2] 

机构地区：[1]西北大学数学系,陕西西安710069 [2]西北大学非线性研究中心,陕西西安710069

出　　处：《纯粹数学与应用数学》2013年第3期306-317,共12页Pure and Applied Mathematics

摘　　要：构造一个组合方程的单孤子解和周期尖波解.应用格林函数的性质,以及求一个非线性偏微分方程(简称PDE)弱解的方法.求出了这个组合方程的单孤子解和周期尖波解,推广了前人的研究成果.In order to study the single-soliton solutions and periodic peakons of a combination equation. By the application of the property of Green＇s function, as well as seeking a PDE weak solution approach. The single- soliton solutions and periodic peakons of the combination equation are obtained. The single-soliton solutions and periodic peakons of the combination equation are constructed, which generalizes the results of previous studies.

关 键 词：MODIFIED CAMASSA-HOLM方程 Novikov方程 孤子解 周期尖波解 

分 类 号：O175.29[理学—数学]