Multiscale expansion and integrability properties of the lattice potential KdV equation

Hernández Heredero, Rafael and Levi, Decio and 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
Author/s:
  • Hernández Heredero, Rafael
  • Levi, Decio
  • Petrera, Matteo
  • Scimiterna, Christian
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

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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
DC Identifier: http://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
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