Nonlocal KdV equations

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GÜRSES M., Pekcan A.

PHYSICS LETTERS A, vol.384, no.35, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 384 Issue: 35
  • Publication Date: 2020
  • Doi Number: 10.1016/j.physleta.2020.126894
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, INSPEC, Metadex, Philosopher's Index, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Hirota-Satsuma system, Local and nonlocal KdV equations, Ablowitz-Musslimani reductions, Hirota method, NONLINEAR SCHRODINGER-EQUATION, INVERSE SCATTERING TRANSFORM, DE-VRIES EQUATION, SOLITON-SOLUTIONS, DARBOUX TRANSFORMATION, RECURSION OPERATOR, INTEGRABILITY, SYSTEM
  • Open Archive Collection: AVESIS Open Access Collection
  • Hacettepe University Affiliated: Yes

Abstract

Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we find its local and new nonlocal reductions. It turns out that all reductions of the HS system are Korteweg-de Vries (KdV), complex KdV, and new nonlocal KdV equations. We obtain one-soliton solutions of these KdV equations by using the method of Hirota bilinearization. (C) 2020 Elsevier B.V. All rights reserved.