The Bilinear Equation and Analytical Solutions of the Variable-Coefficient Yu-Toda-Sasa-Fukuyama Equation
Yu-Toda-Sasa-Fukuyama(YTSF)equation is investigated in this paper,which has been widely used in fluid dynamics and plasma physics,etc.The main research contents are the analytic property and exact solutions of this equation.With WTC method,the Painlevé property is provided,and by the truncated Painlevé method,the auto-Bäcklund transformation is given.Then the bilinear form of the original equation is constructed with Hirota bilinear method,and the single soliton solution,double soliton solution and triple soliton solution are derived from the bilinear equation.In the end,for the special solutions of the equation,we set different parameters to draw the images of the solutions and analyze them.