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：

中国国家自然科学基金; 上海市自然科学基金;

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.

引用

页码：1352 / 1364

页数：13

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