Journal of Nonlinear Mathematical Physics

Volume 15, Issue supplement 3, October 2008, Pages 166 - 175

Lump Solutions for PDE's: Algorithmic Construction and Classification

Authors
P.G. Estévez, J. Prada
Corresponding Author
P.G. Estévez
Available Online 1 October 2008.
DOI
https://doi.org/10.2991/jnmp.2008.15.s3.17How to use a DOI?
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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 100
Pages
166 - 175
Publication Date
2008/10
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2008.15.s3.17How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - P.G. Estévez
AU  - J. Prada
PY  - 2008
DA  - 2008/10
TI  - Lump Solutions for PDE's: Algorithmic Construction and Classification
JO  - Journal of Nonlinear Mathematical Physics
SP  - 166
EP  - 175
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.17
DO  - https://doi.org/10.2991/jnmp.2008.15.s3.17
ID  - Estévez2008
ER  -