Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

Alexander Pankov; Vassilis M. Rothos

doi:10.3934/dcds.2011.30.835

Article Contents

2011, Volume 30, Issue 3: 835-849. Doi: 10.3934/dcds.2011.30.835

This issue Previous Article Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling Next Article Maximal abelian torsion subgroups of Diff( C,0)

Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

Alexander Pankov^1, and
Vassilis M. Rothos^2,

1.
Mathematics Department, Morgan State University, 1700 E Cold Spring Lane, Baltimore, MD 21251
2.
School of Mathematics, Physics and Computational Sciences, Faculty of Engineering, Aristotle University of Thessaloniki, Thessaloniki 54124

Received: November 30, 2009

Revised: November 30, 2010

Published: August 2011

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Abstract

We prove the existence of periodic and solitary traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities. The approach is based on variational techniques and concentration compactness.

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Mathematics Subject Classification: Primary: 37K60; Secondary: 82C20.

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