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arXiv · 2004.07144

Nonlocal KdV Equations

Metin Gürses·Aslı Pekcan
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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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Metin Gürses, Aslı Pekcan. 2020-04-15. Nonlocal KdV Equations. https://doi.org/10.1016/j.physleta.2020.126894

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