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arXiv · 1503.09073

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

Zong-Wei Xu·Guo-Fu Yu·Yik-Man Chiang
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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.

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Zong-Wei Xu, Guo-Fu Yu, Yik-Man Chiang. 2015-03-31. Two integrable differential-difference equations derived from NLS-type equation. https://arxiv.org/abs/1503.09073

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