Two integrable differential-difference equations derived from NLS-type equation

2015/03/31 by Zong‐Wei Xu, Xu, Zong-Wei, Guo‐Fu Yu +3
Engineering · Physics and Astronomy · #35C05 #35Q53 #37K10 #37K40 #Advanced Fiber Optic Sensors #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1503.09073

openalex publication_date 2015/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two integrable differential-difference equations are derived from a (2+1)-dimensional modified Heisenberg ferromagnetic equation and a resonant nonlinear Schröinger 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.

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