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

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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.

作者杨海霞

机构地区西北大学数学系西北大学非线性研究中心

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

关键词 MODIFIED CAMASSA-HOLM方程 Novikov方程孤子解周期尖波解 Camassa-Holm equation, modified Camassa-Holm equation, Novikov equation,peakons, period peakons

分类号 O175.29 [理学—基础数学]

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一个组合方程的单孤子解和周期尖波解

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