alexa Abstract | Self-adjointness, Group Classification and Conservation Laws of an Extended Camassa-Holm Equation
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article Open Access

Abstract

In this paper, we prove that equation 2 ( ) 2 3 = 0 t x t x x x x E ≡ u −u + u f u − au u − buu is self-adjoint and quasi self-adjoint, then we construct conservation laws for this equation using its symmetries. We investigate a symmetry classification of this nonlinear third order partial differential equation, where f is smooth function on u and a, b are arbitrary constans. We find Three special cases of this equation, using the Lie group method.

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Author(s): Nadjafikhah M and Pourrostami N

Keywords

Lie symmetry analysis, Self-adjoint, Quasi self-adjoint, Conservation laws, Camassa-Holm equation, Degas peris-Procesi equation, Fornberg whitham equation, BBM equation, Lie Theory, Lie bracket, Lie algebra, Topology, Lie triple systems

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