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Toda, K. and Kobayashi, T. (2005) Integrable Nonlinear Partial Diferential Equations with Variable Coefficients from the Painlevé Test. Proceedings of 10th International Conference in Modern Group Analysis, 214-221.

has been cited by the following article:

• 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.