Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation |
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| Authors: | Yue Liu Xiao-Ping Wang |
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| Affiliation: | (1) Department of Mathematics, University of Texas at Austin, 78712 Austin, TX, USA;(2) Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
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| Abstract: | We prove that the set of solitary wave solutions of a generalized Kadomtsev-Petviashvili equation in two dimensions, (u t+(um+1)x+uxxx)x=uyy is stable for 0<m<4/3. |
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