Using the (2+1)-dimensional Schwartz dcrivative, the usual (2+1)-dimensional Schwartz Kadomtsev-Petviashvili (KP) equation is extended to (n+1)-dimensional conformal invariance equation. The extension possesses Painlc...Using the (2+1)-dimensional Schwartz dcrivative, the usual (2+1)-dimensional Schwartz Kadomtsev-Petviashvili (KP) equation is extended to (n+1)-dimensional conformal invariance equation. The extension possesses Painlcvc property. Some (3+1)-dimensional examples are given and some single three-dimensional camber soliton and two spatial-plane solitons solutions of a (3+1)-dimensional equation are obtained.展开更多
文摘Using the (2+1)-dimensional Schwartz dcrivative, the usual (2+1)-dimensional Schwartz Kadomtsev-Petviashvili (KP) equation is extended to (n+1)-dimensional conformal invariance equation. The extension possesses Painlcvc property. Some (3+1)-dimensional examples are given and some single three-dimensional camber soliton and two spatial-plane solitons solutions of a (3+1)-dimensional equation are obtained.
