Discrete and Semidiscrete Models for AKNS Equation

作者:Zhao, Song-lin*; Shi, Ying
来源:Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2017, 72(3): 281-290.
DOI:10.1515/zna-2016-0443

摘要

We establish a discrete model for the Ablowitz-Kaup-Newell-Segur (AKNS) equation via generalised Cauchy matrix approach. Two semidiscrete AKNS equations are obtained by, respectively, introducing straight continuum limit and skew continuum limit. Some reductions are also discussed.