Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs

被引：4

作者：

Maier, Daniela ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Anal Dynam & Modellierung, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 06期

关键词：

Breather solutions; Periodic graph; Floquet-Bloch theory; Discrete center manifold reduction; Spatial dynamics; Klein Gordon equations; MODULATING PULSE SOLUTIONS;

D O I：

10.1016/j.jde.2019.09.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to construct small-amplitude breather solutions for a nonlinear Klein-Gordon equation posed on a periodic metric graph via spatial dynamics and center manifold reduction. The major difficulty occurs from the irregularity of the solutions. The persistence of the approximately constructed pulse solutions under higher order perturbations is obtained by symmetry and reversibility arguments. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：2491 / 2509

页数：19

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