Discrete potential Ablowitz–Kaup–Newell–Segur equation. Issue 8 (3rd August 2019)

• Record Type: Journal Article
• Authors: Zhao, Song-lin
• Is Part Of: Journal of difference equations and applications. Volume 25:Issue 8(2019)
• Page Start: 1134
• Page End: 1148
• Publication Date: 2019-08-03
• Subjects: Discrete pAKNS equation -- generalized Cauchy matrix approach -- solutions -- continuum limit -- reduction; 39A14 -- 35Q51 -- 35Q53; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2019.1662410
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : We establish a discrete model for the potential Ablowitz–Kaup–Newell–Segur equation via a generalized Cauchy matrix approach. Soliton solutions and Jordan block solutions of this equation are presented by solving the determining equation set. By applying appropriate continuum limits, we obtain two semi-discrete potential Ablowitz–Kaup–Newell–Segur equations. The reductions to real and complex discrete and semi-discrete potential modified Korteweg-de Vries equations are also discussed.