Nonlocal KdV equations

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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.

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Physics Letters, Section A: General, Atomic and Solid State Physics

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Elsevier

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Published Version (Please cite this version)

Language

English