Preprint No. A-99-03

K. Pflüger, A. A. Pankov

Traveling Waves on Lattice Dynamical Systems

Abstract: We consider traveling wave solutions for nonlinear lattices of particles with nearest neighbour interaction. By using variational methods we prove the existence of monotone traveling waves for finite, periodic lattices and show that in the limit, as the period goes to infinity, these waves converge to corresponding solutions of the infinite lattice.

Keywords: nonlinear lattice, traveling waves, infinite dimensional Hamiltonian system, periodic lattice, variational methods

Mathematics Subject Classification (MSC91): 34K05 General theory , 34A45 Theoretical approximation of solutions

Language: ENG

Available: Pr-A-99-03.ps

Contact: Pflüger, K.; Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (pflueger@math.fu-berlin.de)

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