| 推广的GDGH2系统的自相似解及爆破现象 |
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| 引用本文： | 杜金金,王昊. 推广的GDGH2系统的自相似解及爆破现象[J]. 数学学报, 2019, 62(1): 137-150 |
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| 作者姓名： | 杜金金 王昊 |
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| 作者单位： | 1. 西北大学数学学院 西安 710069;2. 南京理工大学理学院 南京 210097 |
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| 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.
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| 关 键 词： | Dullin-Gottwald-Holm系统 Emden方程 全局存在性 爆破 |
Analytical Solutions and Blowup Phenomena for the GDGH2 System |
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| Jin Jin DU,Hao WANG. Analytical Solutions and Blowup Phenomena for the GDGH2 System[J]. Acta Mathematica Sinica, 2019, 62(1): 137-150 |
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| Authors: | Jin Jin DU Hao WANG |
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| Affiliation: | 1. School of Mathematics, Northwest University, Xi'an 710069, P. R. China;2. School of Science, Nanjing University of Science and Technology, Nanjing 210097, P. R. China |
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| 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. |
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| Keywords: | Dullin-Gottwald-Holm system Emden equation global existence blowup |
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