English

Dynamical models of adiabatic $N $-soliton interactions

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

The adiabatic N-soliton train interactions for the scalar nonlinear Schrodinger (NLS) equation and its perturbed versions are well studied. Here we briefly outline how they can be generalized for the higher NLS-type equations and for the multicomponent NLS equations. It is shown that in all these cases the complex Toda chain plays fundamental role.

Cite

@article{arxiv.nlin/0009036,
  title  = {Dynamical models of adiabatic $N $-soliton interactions},
  author = {V. S. Gerdjikov},
  journal= {arXiv preprint arXiv:nlin/0009036},
  year   = {2007}
}

Comments

4 pages, LaTeX 2e