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arXiv · 1004.2646

N-soliton states of the FPU lattices

Tetsu Mizumachi
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Abstract

In this paper, we prove existence and uniqueness of solutions to the Fermi Pasta Ulam lattice equation that converge to a sum of co-propagating $N$ solitary waves as $t\to\infty$ using linear stability property of multi-soliton like solutions in an exponentially weighted space proved by [Mizumachi, arXiv:0906.1320]. Counter-propagating two soliton states have been studied by [Hoffman and Wayne, Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model, J. Dynam. Differential Equations 21 (2009), 343-351].

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Tetsu Mizumachi. 2010-04-15. N-soliton states of the FPU lattices. https://arxiv.org/abs/1004.2646

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