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Multiscale expansion and integrability properties of the lattice potential KdV equation
Citation
Hernández Heredero, Rafael, Levi, Decio, Petrera, Matteo and Scimiterna, Christian (2008). Multiscale expansion and integrability properties of the lattice potential KdV equation. "Journal of Nonlinear Mathematical Physics", v. 15 (n. 3); pp. 323-333. ISSN 1402-9251. https://doi.org/10.2991/jnmp.2008.15.s3.31.
Description
| Title: | Multiscale expansion and integrability properties of the lattice potential KdV equation |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Journal of Nonlinear Mathematical Physics |
| Date: | October 2008 |
| ISSN: | 1402-9251 |
| Volume: | 15 |
| Subjects: | |
| Faculty: | E.U.I.T. Telecomunicación (UPM) |
| Department: | Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schrödinger equation, the Lax pair gives at the same order the Zakharov and Shabat spectral problem and the symmetries the hierarchy of point and generalized symmetries of the nonlinear Schrödinger equation.
More information
| Item ID: | 2543 |
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| DC Identifier: | https://oa.upm.es/2543/ |
| OAI Identifier: | oai:oa.upm.es:2543 |
| DOI: | 10.2991/jnmp.2008.15.s3.31 |
| Official URL: | http://www.atlantis-press.com/publications/jnmp/ |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 15 Mar 2010 12:58 |
| Last Modified: | 20 Apr 2016 12:12 |
