On Separation of Variables for Integrable Equations of Soliton Type
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Date
2007
Authors
Bernatska, Julia
Holod, Petro
Journal Title
Journal ISSN
Volume Title
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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(¸; ¸¡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.
Description
Keywords
MKdV system, sin-Gordon equations, nonlinear Schroedinger equation, Heisenberg magnetic chain
Citation
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.