00-95 Pankov A., Pflueger K.

Traveling Waves in Lattice Dynamical Systems (35K, LATeX 2.09) Mar 1, 00

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Abstract. For a class of 1-dimensional lattice dynamical systems we prove the existence of periodic traveling waves with prescribed speed and arbitrary period. Then we study asymptotic behaviour of such waves for big values of period and show that they converge, in an appropriate topology, to a solitary traveling wave.

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