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arxiv: 0808.0837 · v1 · submitted 2008-08-06 · 🧮 math-ph · math.MP

On the Integrability of the Discrete Nonlinear Schroedinger Equation

classification 🧮 math-ph math.MP
keywords discreteequationintegrabilitynonlinearschroedingeranalyticbeenbiology
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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.

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