On the high energy solitary waves solutions for a generalized KP equation in bounded domain
UDC 517.9 We are mainly concerned with the existence of infinitely many high energy solitary waves solutions for a class of generalized Kadomtsev – Petviashvili equation (KP equation) in bounded domain. The aim of this paper is to fill the gap in the relevant literature stated in a previous paper (J...
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| Datum: | 2022 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6253 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.9
We are mainly concerned with the existence of infinitely many high energy solitary waves solutions for a class of generalized Kadomtsev – Petviashvili equation (KP equation) in bounded domain. The aim of this paper is to fill the gap in the relevant literature stated in a previous paper (J. Xu, Z. Wei, Y. Ding, Stationary solutions for a generalized Kadomtsev – Petviashvili equation in bounded domain, Electron. J. Qual. Theory Differ. Equ., 2012, № 68, 1 – 18 (2012)). Under more relaxed assumption on the nonlinearity involved in KP equation, we obtain a new result on the existence of infinitely many high energy solitary waves solutions via a variant fountain theorems. |
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| DOI: | 10.37863/umzh.v74i3.6253 |