2+1 KdV(N) equations

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 solution structures. The only difference in these solutions are the dispersion relations. We also show that they possess the Painleveacute property. (C) 2011 American Institute of Physics. [doi:10.1063/1.3629528]