Nonlocal KdV equations


GÜRSES M., Pekcan A.

PHYSICS LETTERS A, vol.384, no.35, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 384 Issue: 35
  • Publication Date: 2020
  • Doi Number: 10.1016/j.physleta.2020.126894
  • Title of Journal : PHYSICS LETTERS A
  • 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

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.