Title :
Symmetry reductions and exact solutions to the Variable-Coefficients mKdV Equations
Author_Institution :
Dept. of Math., Binzhou Univ., Binzhou, China
Abstract :
In this paper, the variable coefficients modified Korteweg-de Vries (vc-mKdV) equations are considered. By using Lie symmetry analysis method, the vector fields and symmetry reductions of the equations are presented. The exact solutions generated from the similarity transformations are obtained. Especially, the exact analytic solutions to the vc-mKdV equations are investigated by the power series method.
Keywords :
Korteweg-de Vries equation; nonlinear differential equations; Lie symmetry analysis method; exact analytic solutions; power series method; symmetry reductions; variable coefficients modified Korteweg-de Vries equations; vector fields; Concrete; Convergence; Equations; Generators; Mathematical model; Physics; Presses; Exact solution; Lie symmetry analysis; Power series method; Variable coefficients mKdV equation; Vector field;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
