Author(s)

Yuqing Liu^1*, Fang Duan², Chao Hu¹

¹School of Physics & Mathematics, Changzhou University, Changzhou, China.
²School of Business Administration, Shanghai Lixin University of Commerce, Shanghai, China.

A (2 + 1) dimensional KdV-mKdV equation is proposed and integrability in the sense of Painlevé and some exact solutions are discussed. The Bäcklund transformation and bilinear equations are obtained through Painlevé analysis. Some exact solutions are deduced by Hirota method and generalized Wronskian method.

(2+1) Dimensional KdV-mKdV Equation, Painlevé Property, Bäcklund Transformation, Bilinear Equation, Wronskian Method

Liu, Y. , Duan, F. and Hu, C. (2015) Painlevé Property and Exact Solutions to a (2 + 1) Dimensional KdV-mKdV Equation. Journal of Applied Mathematics and Physics, 3, 697-706. doi: 10.4236/jamp.2015.36083.