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Nonlinear Self-Adjointness for some Generalized KdV Equations Read chapter Read first chapter

2014 | OriginalPaper | Chapter

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

Author : M. S. Bruzón

Published in: Discontinuity and Complexity in Nonlinear Physical Systems

Publisher: Springer International Publishing

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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.

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previous chapter Nonlinear Self-Adjointness for some Generalized KdV Equations
next chapter Some Analytical Techniques in Fractional Calculus: Realities and Challenges
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Metadata
Title
Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations
Author
M. S. Bruzón
Copyright Year
2014
Book
Discontinuity and Complexity in Nonlinear Physical Systems

Print ISBN: 978-3-319-01410-4

Electronic ISBN: 978-3-319-01411-1

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-01411-1_2

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