On the long time stability of travelling wave for the discrete nonlinear Schroedinger equations

With Erwan Faou (Inria)

On the long time stability of travelling wave for the discrete nonlinear Schroedinger equations

I will discuss the possible existence of travelling wave solutions for discrete nonlinear Schrödinger equations on a grid. I will show the influence of the nonlinearity in this problem and give some partial results for the long time stability. This is a joint work with Dario Bambusi, Joackim Bernier, Benoît Grébert and Alberto Maspero.

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