Standing wave solution for the generalized Jackiw-Pi model

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2022-09-13 DOI:10.1515/anona-2022-0261

Hyungjin Huh, Yuanfeng Jin, You Ma, Guanghui Jin

引用次数: 0

Abstract

Abstract We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using variational method. Depending on interaction strength λ \lambda , we have three different situations. The existence and nonexistence of the standing wave solution correspond to 1 < λ 1\lt \lambda and 0 < λ < 1 0\lt \lambda \lt 1 , respectively. We have the explicit solution of self-dual equation for the borderline λ = 1 \lambda =1 .

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广义Jackiw-Pi模型的驻波解

摘要用变分方法研究了广义Jackiw-Pi模型驻波解的存在性和不存在性。根据相互作用强度λλ，我们有三种不同的情况。驻波解的存在性和不存在性分别对应于1<λ1\lt\lambda和0<λ<10\lt\lambda\lt1。λ=1的自对偶方程的显式解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.