2+1 KdV(N) Equations

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.

15 pages

References in corpus (6)

• KdV6: An Integrable System
• A new integrable generalization of the Korteweg - de Vries equation
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• Integrability of Kupershmidt deformations

Cited by in corpus (2)

• $(2+1)$-Dimensional Local and Nonlocal Reductions of the Negative AKNS System: Soliton Solutions
• Multi-component AKNS systems