Published January 1, 2019 | Version v1
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(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: Soliton solutions

  • 1. Bilkent Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey
  • 2. Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

Description

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. (C) 2018 Elsevier B.V. All rights reserved.

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