2+1 KdV(N) Equations

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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15 pages

Scientific paper

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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