Two integrable differential-difference equations derived from NLS-type equation
Exactly Solvable and Integrable Systems
2015-04-08 v3
Abstract
Two integrable differential-difference equations are derived from a (2+1)-dimensional modified Heisenberg ferromagnetic equation and a resonant nonlinear Schr\"oinger equation respectively. Multi-soliton solutions of the resulted semi-discrete systems are given through Hirota's bilinear method. Elastic and inelastic interaction behavior between two solitons are studied through the asymptotic analysis. Dynamics of two-soliton solutions are shown with graphs.
Cite
@article{arxiv.1503.09073,
title = {Two integrable differential-difference equations derived from NLS-type equation},
author = {Zong-Wei Xu and Guo-Fu Yu and Yik-Man Chiang},
journal= {arXiv preprint arXiv:1503.09073},
year = {2015}
}
Comments
17 pages, 10 figures