ON CONCENTRATION OF SEMI-CLASSICAL SOLITARY WAVES FOR A GENERALIZED KADOMTSEV-PETVIASHVILI EQUATION

被引：2
|
作者：
Wei, Yuanhong [1 ]
Li, Yong [1 ,2 ,3 ,4 ]
Yang, Xue [1 ,2 ,3 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[3] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
[4] Jilin Univ, State Key Lab Automot Simulat & Control, Changchun 130012, Jilin, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 05期
关键词：
Concentration; semi-classical; solitary wave; Kadomtsev-Petviashvili equation; critical point; WELL-POSEDNESS; EXISTENCE; STATES;
D O I：
10.3934/dcdss.2017059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper is concerned with semi-classical solitary wave solutions of a generalized Kadomtsev-Petviashvili equation in R-2. Parameter epsilon and potential V(x, y) are included in the problem. The existence of the least energy solution is established for all epsilon > 0 small. Moreover, we point out that these solutions converge to a least energy solution of the associated limit problem and concentrate to the minimum point of the potential as epsilon -> 0.
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页码：1095 / 1106
页数：12
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