By Dirk Hennig

The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schr\"odinger equation (DNLS) on finite one-dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the usual nearest-neighbour interaction. The problem of the existence of travelling wave solutions is... Show more

July 27, 2017

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Periodic travelling wave solutions of discrete nonlinear Schrödinger equations

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