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arXiv · 2004.04868

Multitransition solutions for a generalized Frenkel-Kontorova model

Wen-Long Li·Xiaojun Cui
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Abstract

We study a generalized Frenkel-Kontorova model. Using minimal and Birkhoff solutions as building blocks, we construct a lot of homoclinic solutions and heteroclinic solutions for this generalized Frenkel-Kontorova model under gap conditions. These new solutions are not minimal and Birkhoff any more. We use constrained minimization method to prove our results.

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Wen-Long Li, Xiaojun Cui. 2020-04-10. Multitransition solutions for a generalized Frenkel-Kontorova model. https://arxiv.org/abs/2004.04868

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