Nonlocal KdV equations
Date
2020
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Source Title
Physics Letters, Section A: General, Atomic and Solid State Physics
Print ISSN
0375-9601
Electronic ISSN
Publisher
Elsevier
Volume
384
Issue
35
Pages
1 - 11
Language
English
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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.