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High-Dimensional Integrable Models with Conformal Invariance
Authors:LIN Ji  QIAN Xian-Min
Institution:1. Physics Department, Shanghai Jiao Tong University, Shanghai 200030, China ;2. Department of Physics, Zhejiang Normal University, Jinghua 321004, China ;3. Physics Department, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
Abstract:Using the (2+1)-dimensional Schwartz derivative, the usual (2+1)-dimensional Schwartz Kadomtsev-Petviashvili (KP) equation is extended to (n+1)-dimensional conformal invariance equation. The extension possesses Painlevé 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.
Keywords:higher-dimensional integrable model                                                                                                                                                                      
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