Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Self-adjointness, Group Classification and Conservation Laws of an Extended Camassa-Holm Equation


Nadjafikhah M and Pourrostami N

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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