DocumentCode
550367
Title
Symmetry reductions and exact solutions to the Variable-Coefficients mKdV Equations
Author
Liu Hanze
Author_Institution
Dept. of Math., Binzhou Univ., Binzhou, China
fYear
2011
fDate
22-24 July 2011
Firstpage
859
Lastpage
863
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2011 30th Chinese
Conference_Location
Yantai
ISSN
1934-1768
Print_ISBN
978-1-4577-0677-6
Electronic_ISBN
1934-1768
Type
conf
Filename
6000705
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