2+1 KdV(N) Equations

2011/02/28 by Metin Gürses, Aslí Pekcan · 1 citation
Physics and Astronomy · #nlin.SI #msc:37K10 #msc:35C08

paper · pdf · doi:10.1063/1.3629528

published as J. Math. Phys. 52, 083516 (2011) · 15 pages

arxiv created 2011/03/03 · arxiv updated 2016/11/29

Abstract

We present some nonlinear partial differential equations in 2+1-dimensions derived from the KdV Equation and its symmetries. We show that all these equations have the same 3-soliton structures. The only difference in these solutions are the dispersion relations. We also showed that they pass the Painlevé test.

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