Open AccessOn the High Energy Solitary Waves Solutions for a Generalized KP Equation in Bounded Domain
Author(s) -
Rochdi Jebari
Publication year - 2022
Publication title -
ukraïnsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v74i3.6253
Subject(s) - bounded function , domain (mathematical analysis) , kadomtsev–petviashvili equation , mathematics , mathematical analysis , class (philosophy) , partial differential equation , energy (signal processing) , nonlinear system , differential equation , physics , characteristic equation , quantum mechanics , computer science , statistics , artificial intelligence
In this paper, 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 ( Xu, J., Wei, Z., Ding, Y.: Stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain. Electronic Journal of Qualitative Theory of Differential Equations. (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.