Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation

被引:0
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作者
Yue Liu
Xiao-Ping Wang
机构
[1] University of Texas at Austin,Department of Mathematics
[2] The Hong Kong University of Science and Technology,Department of Mathematics
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关键词
Soliton; Solitary Wave; Travel Wave Solution; Nonlinear Stability; Solitary Wave Solution;
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摘要
We prove that the set of solitary wave solutions of a generalized Kadomtsev-Petviashvili equation in two dimensions, (ut+(um+1)x+uxxx)x=uyy is stable for 0<m<4/3.
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页码:253 / 266
页数:13
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