推广的GDGH2系统的自相似解及爆破现象

杜金金, 王昊

数学学报 ›› 2019, Vol. 62 ›› Issue (1) : 137-150.

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数学学报 ›› 2019, Vol. 62 ›› Issue (1) : 137-150. DOI: 10.12386/A2019sxxb0011
论文

推广的GDGH2系统的自相似解及爆破现象

    杜金金1, 王昊2
作者信息 +

Analytical Solutions and Blowup Phenomena for the GDGH2 System

    Jin Jin DU1, Hao WANG2
Author information +
文章历史 +

摘要

本文研究了广义两分量Dullin-Gottwald-Holm(GDGH2)浅水波系统及其推广形式的一类自相似解.首先通过构造Emden方程,分析了解的全局存在性,以及在一定条件下解的爆破现象;其次利用扰动方法和特征线法,构造了两种形式的精确解.

Abstract

In this paper, we study the analytical solutions for the extended generalized two-component Dullin-Gottwald-Holm shallow water system. By the resulting of Emden equation, we investigate the global existence and finite-time blowup phenomena. Furthermore, the perturbation method and characteristic method are used to construct two types of exact solutions for this system.

关键词

Dullin-Gottwald-Holm系统 / Emden方程 / 全局存在性 / 爆破

Key words

Dullin-Gottwald-Holm system / Emden equation / global existence / blowup

引用本文

导出引用
杜金金, 王昊. 推广的GDGH2系统的自相似解及爆破现象. 数学学报, 2019, 62(1): 137-150 https://doi.org/10.12386/A2019sxxb0011
Jin Jin DU, Hao WANG. Analytical Solutions and Blowup Phenomena for the GDGH2 System. Acta Mathematica Sinica, Chinese Series, 2019, 62(1): 137-150 https://doi.org/10.12386/A2019sxxb0011

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