期刊论文详细信息
Boundary value problems | |
Existence and stability of solitary waves for the generalized Korteweg-de Vries equations | |
Mingli Hong1  | |
[1] Institute of Disaster Prevention, Sanhe Hebei, China | |
关键词: generalized Korteweg-de Vries equations; constrained minimization problems; concentration-compactness; stability; | |
DOI : 10.1186/1687-2770-2013-121 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
In this paper, we consider the fractional Korteweg-de Vries equations with general nonlinearities. By studying constrained minimization problems and applying the method of concentration-compactness, we obtain the existence of solitary waves for the generalized Korteweg-de Vries equations under some assumptions of the nonlinear term. Moreover, we prove that the set of minimizers is a stable set for the initial value problem of the equations, in the sense that a solution which starts near the set will remain near it for all time.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904024362497ZK.pdf | 393KB | download |