Existence of nontrivial solitary wave for a generalized Kadomtsev-Petviashvili equation with the potential

被引：0
|
作者：
Ji, Chao [1 ]
Jiang, Rong [1 ]
机构：
[1] East China Univ Sci & Technol, Sch Math, Shanghai, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 08期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Solitary wave; generalized Kadomtsev-Petviashvili equation; variational methods; PERIODIC-WAVES; WATER;
D O I：
10.1080/17476933.2023.2213166
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the variational methods, we consider the existence of nontrivial solitary wave for a generalized Kadomtsev-Petviashvili equation with a constant potential and a periodic potential in $ \mathbb {R}<^>{2} $ R2, respectively. In our problem, the nonlinear term f is only continuous, which allows to consider larger classes of nonlinearities than usually assumed.
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页码：1352 / 1364
页数：13
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