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arXiv · 2103.11854

Existence of breathers in nonlinear Klein-Gordon lattices

Dirk Hennig
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Abstract

We prove the existence of time-periodic solutions and spatially localised solutions (breathers), in general nonlinear Klein-Gordon infinite lattices. The existence problem is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder's Fixed Point Theorem.

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Dirk Hennig. 2021-03-22. Existence of breathers in nonlinear Klein-Gordon lattices. https://arxiv.org/abs/2103.11854

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