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arXiv · 1812.02012

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

Daniela Maier
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Abstract

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 can be shown for two symmetric solutions.

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Daniela Maier. 2018-12-05. Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs. https://arxiv.org/abs/1812.02012

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