Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 323 - 333

Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation

Authors
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera, Christian Scimiterna
Corresponding Author
Rafael Hernandez Heredero
Available Online 1 October 2008.
DOI
10.2991/jnmp.2008.15.s3.31How to use a DOI?
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 Schr¨odinger 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 Schr¨odinger equation.

Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - supplement 3
Pages
323 - 333
Publication Date
2008/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.s3.31How to use a DOI?
Copyright
© 2008, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Rafael Hernandez Heredero
AU  - Decio Levi
AU  - Matteo Petrera
AU  - Christian Scimiterna
PY  - 2008
DA  - 2008/10/01
TI  - Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 323
EP  - 333
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.31
DO  - 10.2991/jnmp.2008.15.s3.31
ID  - Heredero2008
ER  -