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

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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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Authors and Affiliations

  1. Department of Mathematics, University of Texas at Austin, 78712, Austin, TX, USA

    Yue Liu

  2. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Xiao-Ping Wang

Authors
  1. Yue Liu
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  2. Xiao-Ping Wang
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Communicated by A. Jaffe

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Liu, Y., Wang, XP. Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation. Commun.Math. Phys. 183, 253–266 (1997). https://doi.org/10.1007/BF02506406

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  • DOI: https://doi.org/10.1007/BF02506406

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