On the integrability of the discrete nonlinear Schrödinger equationD. Levi1, M. Petrera2, 1 and C. Scimiterna2, 1
1 Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN Roma Tre Via della Vasca Navale 84, 00146 Roma, Italy, EU
2 Dipartimento di Fisica, Università degli Studi Roma Tre and Sezione INFN Roma Tre Via della Vasca Navale 84, 00146 Roma, Italy, EU
received 3 June 2008; accepted in final form 13 August 2008; published October 2008
published online 16 October 2008
In this letter we present an analytic evidence of the nonintegrability of the discrete nonlinear Schrödinger 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.
02.30.Ik - Integrable systems.
47.11.St - Multi-scale methods.
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