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arxiv: 1102.5230 · v2 · pith:SYXYHZ2Jnew · submitted 2011-02-25 · 🌊 nlin.SI

2+1 KdV(N) Equations

classification 🌊 nlin.SI
keywords equationsderiveddifferencedifferentialdimensionsdispersionequationnonlinear
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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 Painlev\'e test.

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