2020/04/15 by Metin Gürses, Aslı Pekcan
Physics and Astronomy · #nlin.SI
paper · pdf · doi:10.1016/j.physleta.2020.126894
15 pages, 7 figures
arxiv created 2020/04/15 · arxiv updated 2020/10/28
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.