二维晶格上线性耦合非线性振子系统的周期行波

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-01-01 DOI:10.5817/am2022-1-1

S. Bak

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引用次数: 2

摘要

．本文得到了二维晶格上无限线性耦合非线性振子系统中任意速度c > 0的非常周期行波的存在性。利用临界点法和连接定理，得到了该类解存在的充分条件。

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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Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice

. In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed c > 0 in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.