Multiple solitary waves for a generalized Kadomtsev-Petviashvili with a

被引：5

作者：

Figueiredo, Giovany ^{[1
]}

Montenegro, Marcelo ^{[2
]}

机构：

[1] Univ Brasilia, Dept Matemat, Campus Darcy Ribeiro 01, BR-70910900 Brasilia, DF, Brazil

[2] Univ Estadual Campinas, Dept Matemat, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 308卷

基金：

巴西圣保罗研究基金会;

关键词：

Variational methods; Kadomtsev-Petviashvili equation; Multiple solutions; PERIODIC-WAVES; EXISTENCE; EQUATION; WATER;

D O I：

10.1016/j.jde.2021.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence multiple solitary waves for a generalized Kadomtsev-Petviashvili equation with a potential in dimension two. The number of waves correspond to the number of global minimum points of the potential when a parameter is small enough. (c) 2021 Published by Elsevier Inc. MSC: primary 35A15; secondary 35A18, 35Q53, 58E05, 76B25

引用

页码：40 / 56

页数：17

共 27 条

[11] Fully localised solitary-wave solutions of the three-dimensional gravity-capillary water-wave problem [J].