Journal of Nonlinear Mathematical Physics

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Volume 14, Issue 3, October 2007, Pages 353 - 374

On Separation of Variables for Integrable Equations of Soliton Type

Authors
Julia Bernatska, Petro Holod
Corresponding Author
Julia Bernatska
Received 11 August 2006, Accepted 6 October 2006, Available Online 1 October 2007.
DOI
10.2991/jnmp.2007.14.3.5How to use a DOI?
Abstract

We propose a general scheme for separation of variables in the integrable Hamilto- nian systems on orbits of the loop algebra sl(2, C) × P (λ, λ −1 ). In particular, we illus- trate the scheme by application to modified Korteweg—de Vries (MKdV), sin(sinh)- Gordon, nonlinear Schr ̈odinger, and Heisenberg magnetic equations.

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
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 3
Pages
353 - 374
Publication Date
2007/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.3.5How 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  - Julia Bernatska
AU  - Petro Holod
PY  - 2007
DA  - 2007/10/01
TI  - On Separation of Variables for Integrable Equations of Soliton Type
JO  - Journal of Nonlinear Mathematical Physics
SP  - 353
EP  - 374
VL  - 14
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.3.5
DO  - 10.2991/jnmp.2007.14.3.5
ID  - Bernatska2007
ER  -