Journal of Nonlinear Mathematical Physics

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Volume 14, Issue 2, April 2007, Pages 238 - 249

Resolving of discrete transformation chains and multisoliton solution of the 3-wave problem

Authors
A.N. Leznov, G.R. Toker, R. Torres-Cordoba
Corresponding Author
A.N. Leznov
Received 27 July 2006, Accepted 29 November 2006, Available Online 1 April 2007.
DOI
10.2991/jnmp.2007.14.2.6How to use a DOI?
Abstract

The chain of discrete transformation equations is resolved in explicit form. The new found form of solution alow to solve the problem of interrupting of the chain in the most strigtforward way. More other this form of solution give a guess to its generalization on the case of arbitrary semisimple algebra in the case of n-wave problem. This technique is demonstraited on the example of construction multi-soliton solution of the 3-wave problem in explicit form.

Copyright
© 2007, 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/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 2
Pages
238 - 249
Publication Date
2007/04/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.2.6How to use a DOI?
Copyright
© 2007, 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

risenwbib
TY  - JOUR
AU  - A.N. Leznov
AU  - G.R. Toker
AU  - R. Torres-Cordoba
PY  - 2007
DA  - 2007/04/01
TI  - Resolving of discrete transformation chains and multisoliton solution of the 3-wave problem
JO  - Journal of Nonlinear Mathematical Physics
SP  - 238
EP  - 249
VL  - 14
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.2.6
DO  - 10.2991/jnmp.2007.14.2.6
ID  - Leznov2007
ER  -