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2014 | OriginalPaper | Chapter

1. Nonlinear Self-Adjointness for some Generalized KdV Equations

Authors : M. L. Gandarias, M. Rosa

Published in: Discontinuity and Complexity in Nonlinear Physical Systems

Publisher: Springer International Publishing

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Abstract

The new concepts of self-adjoint equations formulated in Gandarias (J Phys A: Math Theor 44:262001, 2011) and Ibragimov (J Phys A: Math Theor 44:432002, 2011) are applied to some classes of third order equations. Then, from Ibragimov’s theorem on conservation laws, conservation laws for two generalized equations of KdV type and a potential Burgers equation are established.

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next chapter Weak Self-Adjointness and Conservation Laws for a Family of Benjamin-Bona-Mahony-Burgers Equations
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Metadata
Title
Nonlinear Self-Adjointness for some Generalized KdV Equations
Authors
M. L. Gandarias
M. Rosa
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_1

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