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.
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.
作者
杜金金
王昊
Jin Jin DU;Hao WANG(School of Mathematics,Northwest University,Xi'an 710069,P.R.China;School of Science,Nanjing University of Science and Technology, Nanjing 210097,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2019年第1期137-150,共14页
Acta Mathematica Sinica：Chinese Series
