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On the High-Energy Solitary Wave Solutions for a Generalized KP Equation in a Bounded Domain

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Ukrainian Mathematical Journal Aims and scope

We mainly deal with the existence of infinitely many high-energy solitary wave solutions for a class of generalized Kadomtsev–Petviashvili equations (KP equations) in bounded domains. Our aim is to fill the gap in the relevant literature mentioned in a previous paper (J. Xu, Z.Wei, and Y. Ding, Electron. J. Qual. Theory Different. Equat., 2012, No. 68, 1 (2012)). Under more relaxed assumption on the nonlinearity involved in the KP equation, we obtain a new result on the existence of infinitely many high-energy solitary wave solutions via a variant of the fountain theorem.

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Authors and Affiliations

  1. Department of Mathematics, College of Science and Humanities-Al Quwayiyah, Shaqra University, Riyadh, Kingdom of Saudi Arabia

    R. Jebari

  2. Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El-Manar, El Manar, Tunis, Tunisie

    R. Jebari

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 3, pp. 311–322, March, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i3.6253.

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Jebari, R. On the High-Energy Solitary Wave Solutions for a Generalized KP Equation in a Bounded Domain. Ukr Math J 74, 350–363 (2022). https://doi.org/10.1007/s11253-022-02067-5

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  • DOI: https://doi.org/10.1007/s11253-022-02067-5

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