Selected Aspects of Soliton Theory. Constant boundary conditions

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Brief review of the methods for solving the multicomponent nonlinear Schrodinger (MNLS) equations and analysis of their Hamiltonian structures is given. Main attention is paid to the MNLS related to the C.II- and D.III-types symmetric spaces with nonvanishing (constant) boundary conditions. The spectral properties of their Lax operators are described. The derivation of the trace identities is outlined. The involutivity of their integrals of motion is proved using the method of the classical R-matrix.
In: Prof. G. Manev's Legacy in Contemporary Aspects of Astronomy, Gravitational and Theoretical Physics", Eds.: V. Gerdjikov and M. Tsvetkov, Heron Press Ltd, Sofia, 2005. pp. 277-290

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/111738

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0604005
 http://arxiv.org/abs/nlin/0604005

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arXiv