Journal
PHYSICS LETTERS A
Volume 384, Issue 35, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2020.126894
Keywords
Hirota-Satsuma system; Local and nonlocal KdV equations; Ablowitz-Musslimani reductions; Hirota method
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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.
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