On the Integrability of the Discrete Nonlinear Schroedinger Equation

Abstract

In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obtained in various contexts of physics and biology. We use a reductive perturbation technique to show an obstruction to its integrability.

4 pages, accepted in EPL

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Cited by in corpus (2)

• Multiscale expansions of difference equations in the small lattice spacing regime, and a vicinity and integrability test. I
• Multiscale reduction of discrete nonlinear Schroedinger equations