TITLE:
Painlevé Property and Exact Solutions to a (2 + 1) Dimensional KdV-mKdV Equation
AUTHORS:
Yuqing Liu, Fang Duan, Chao Hu
KEYWORDS:
(2+1) Dimensional KdV-mKdV Equation, Painlevé Property, Bäcklund Transformation, Bilinear Equation, Wronskian Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.6,
June
30,
2015
ABSTRACT: 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.