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Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations

  • M. S. Bruzón
Chapter
Part of the Nonlinear Systems and Complexity book series (NSCH, volume 6)

Abstract

Ibragimov introduced the concepts of self-adjoint and quasi-self-adjoint equations. Gandarias generalized these concepts and defined the concept of weak self-adjoint equations. In this paper we consider a family of Benjamin-Bona-Mahony-Burgers equations and we determine the subclass of equations which are self-adjoint, quasi-self-adjoint and weak self-adjoint. By using a general theorem on conservation laws proved by Ibragimov we obtain conservation laws for these equations.

Keywords

Weak self-adjointness Conservation laws 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad de CádizCádizSpain

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