On Discretizations of the Vector Nonlinear Schrodinger Equation
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
Two discretizations of the vector nonlinear Schrodinger (NLS) equation are studied. One of these discretizations, referred to as the symmetric system, is a natural vector extension of the scalar integrable discrete NLS equation. The other discretization, referred to as the asymmetric system, has an associated linear scattering pair. General formulae for soliton solutions of the asymmetric system are presented. Formulae for a constrained class of solutions of the symmetric system may be obtained. Numerical studies support the hypothesis that the symmetric system has general soliton solutions.
Keywords
Cite
@article{arxiv.solv-int/9810014,
title = {On Discretizations of the Vector Nonlinear Schrodinger Equation},
author = {M. J. Ablowitz and Y. Ohta and A. D. Trubatch},
journal= {arXiv preprint arXiv:solv-int/9810014},
year = {2009}
}
Comments
16 pages, 1 figure, 1 table