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
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Creator |
Bernatska, Julia
Holod, Petro Бернадська, Юлія Голод, Петро |
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Subject |
MKdV system
sin-Gordon equations nonlinear Schroedinger equation Heisenberg magnetic chain |
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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. |
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Date |
2009-10-12T15:39:02Z
2009-10-12T15:39:02Z 2007 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Journal of Nonlinear Mathematical Physics. - 2007. - Vol. 14, N 3.
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