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/).
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 -