(2+1)-Dimensional Local and Nonlocal Reductions of the Negative AKNS System: Soliton Solutions

2018/08/02 by Metin Gürses, Aslı Pekcan · 2 citations
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1016/j.cnsns.2018.11.016

21 pages

arxiv created 2018/08/02 · arxiv updated 2018/12/26

Abstract

We first construct a (2+1)-dimensional negative AKNS hierarchy and then we give all possible local and (discrete) nonlocal reductions of these equations. We find Hirota bilinear forms of the negative AKNS hierarchy and give one- and two-soliton solutions. By using the soliton solutions of the negative AKNS hierarchy we find one-soliton solutions of the local and nonlocal reduced equations.

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