(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: Soliton solutions

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GÜRSES M., Pekcan A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.71, pp.161-173, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71
  • Publication Date: 2019
  • Doi Number: 10.1016/j.cnsns.2018.11.016
  • Journal Name: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.161-173
  • Keywords: Ablowitz-Musslimani reduction, (2+1)-dimensional negative AKNS hierarchy, Hirota bilinear method, Soliton solutions, INVERSE SCATTERING TRANSFORM, DE-VRIES EQUATION, REPRESENTATIONS
  • Hacettepe University Affiliated: Yes

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