Exact solutions to the focusing nonlinear Schrodinger equation
Exactly Solvable and Integrable Systems
2007-09-12 v2 Mathematical Physics
math.MP
Abstract
A method is given to construct globally analytic (in space and time) exact solutions to the focusing cubic nonlinear Schrodinger equation on the line. An explicit formula and its equivalents are presented to express such exact solutions in a compact form in terms of matrix exponentials. Such exact solutions can alternatively be written explicitly as algebraic combinations of exponential, trigonometric, and polynomial functions of the spatial and temporal coordinates.
Cite
@article{arxiv.nlin/0702010,
title = {Exact solutions to the focusing nonlinear Schrodinger equation},
author = {Tuncay Aktosun and Francesco Demontis and Cornelis van der Mee},
journal= {arXiv preprint arXiv:nlin/0702010},
year = {2007}
}
Comments
60 pages, 18 figures