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On Separation of Variables for Integrable Equations of Soliton Type

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Title On Separation of Variables for Integrable Equations of Soliton Type
 
Creator Bernatska, Julia
Holod, Petro
Бернадська, Юлія
Голод, Петро
 
Subject MKdV system
sin-Gordon equations
nonlinear Schroedinger equation
Heisenberg magnetic chain
 
Description 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(¸; ¸¡1). In particular, we illus-
trate the scheme by application to modi¯ed Korteweg|de Vries (MKdV), sin(sinh)-
Gordon, nonlinear SchrÄodinger, and Heisenberg magnetic equations.
 
Date 2009-10-12T15:39:02Z
2009-10-12T15:39:02Z
2007
 
Type Article
 
Identifier Bernatska, Julia. On Separation of Variables for Integrable Equations of Soliton Type / Julia Bernatska, Petro Holod. // Journal of Nonlinear Mathematical Physics. - 2007. - Vol. 14, N 3. - P. 345-366.
http://www.ekmair.ukma.edu.ua/handle/123456789/332
 
Language en
 
Relation Journal of Nonlinear Mathematical Physics. - 2007. - Vol. 14, N 3.