1. SYMMETRIES AND CONSERVATION LAWS OF A KDV6 EQUATION.
- Author
-
Bruzón, María Santos and Garrido, Tamara María
- Subjects
MATHEMATICAL symmetry ,CONSERVATION laws (Mathematics) ,KORTEWEG-de Vries equation ,LIE algebras ,CALCULUS - Abstract
In the present work we make an analysis of the Korteweg-de Vries of sixth order. We apply the classical Lie method of infinitesimals and the nonclassical method, due to Bluman and Cole, to deduce new symmetries of the equation which cannot be obtained by Lie classical method. Moreover, we obtain ten different conservation laws depending on the parameters and we conclude that potential symmetries project on the infinitesimals corresponding to the classical symmetries. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF