title: |
Multiscale Expansion and Integrability Properties of the Lattice Potential KdV Equation |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 323 - 333 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.31 (how to use a DOI) | |
author(s): |
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera, Christian Scimiterna |
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publication date: |
October 2008 |
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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 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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |