| Issue |
EPL
Volume 84, Number 1, October 2008
|
|
|---|---|---|
| Article Number | 10003 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/84/10003 | |
| Published online | 16 October 2008 | |
On the integrability of the discrete nonlinear Schrödinger equation
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
Corresponding author: petrera@fis.uniroma3.it
Received:
3
June
2008
Accepted:
13
August
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.
PACS: 02.30.Ik – Integrable systems / 47.11.St – Multi-scale methods
© EPLA, 2008
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