title: |
Lump Solutions for PDE's: Algorithmic Construction and Classification |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 166 - 175 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.17 (how to use a DOI) | |
author(s): |
P.G. Estévez, J. Prada |
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publication date: |
October 2008 |
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abstract: |
In this paper we apply truncated Painleve expansions to the Lax pair of a PDE to derive gauge Backlund transformations of this equation. It allows us to construct an algorithmic method to
derive solutions by starting from the simplest one. Actually, we use this method to obtain an
infinite set of lump solutions that can be classified by means of two integer numbers N and
M. Two different PDE's are used to check the method and compare the results. |
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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: |