Conservation laws for a Boussinesq equation.

Author:

Gandarias M.L.1,Bruzón M.S.1

Affiliation:

1. Department of Mathematics , University of Cádiz , Cádiz , Spain

Abstract

Abstract In this work, we study a generalized Boussinesq equation from the point of view of the Lie theory. We determine all the low-order conservation laws by using the multiplier method. Taking into account the relationship between symmetries and conservation laws and applying the multiplier method to a reduced ordinary differential equation, we obtain directly a second order ordinary differential equation and two third order ordinary differential equations.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

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