Selected Aspects of Soliton Theory. Constant boundary conditions

V. S. Gerdjikov

Selected Aspects of Soliton Theory. Constant boundary conditions

Exactly Solvable and Integrable Systems 2007-05-23 v1

Authors: V. S. Gerdjikov

Abstract

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.

Keywords

multicomponent nonlinear Schrodinger equations symmetric spaces constant boundary conditions Lax operators trace identities Hamiltonian structures R-matrix

Cite

@article{arxiv.nlin/0604005,
  title  = {Selected Aspects of Soliton Theory. Constant boundary conditions},
  author = {V. S. Gerdjikov},
  journal= {arXiv preprint arXiv:nlin/0604005},
  year   = {2007}
}

Comments

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

Selected Aspects of Soliton Theory. Constant boundary conditions

Abstract

Keywords

Cite

Comments

Related papers