title: |
On application of Liouville type equations to constructing Bäcklund transformations |
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publication: |
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| volume-issue: | 14 - 1 | |
| pages: | 147 - 156 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2007.14.1.11 (how to use a DOI) | |
author(s): |
Dmitry DEMSKOI |
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publication date: |
February 2007 |
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abstract: |
It is shown how pseudoconstants of the Liouville-type equations can be exploited as a
tool for construction of the Bäcklund transformations. Several new examples of such
transformations are found. In particular we obtained the Bäcklund transformations
for a pair of three-component analogs of the dispersive water wave system, and autoBäcklund transformations for coupled three-component KdV-type systems. |
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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: |