Periodic waves of a discrete higher order nonlinear Schroedinger equation
Pattern Formation and Solitons
2017-10-16 v1 Exactly Solvable and Integrable Systems
Abstract
The Hirota equation is a higher order extension of the nonlinear Schroedinger equation by incorporating third order dispersion and one form of self steepening effect. New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete periodic patterns reproduces the known result of the integrable Ablowitz-Ladik system.
Keywords
Cite
@article{arxiv.nlin/0604010,
title = {Periodic waves of a discrete higher order nonlinear Schroedinger equation},
author = {Robert Conte and Kwok-wing Chow},
journal= {arXiv preprint arXiv:nlin/0604010},
year = {2017}
}
Comments
10 pages, 0 figure, to appear, Communications in theoretical physics