Abstract
In this paper, we prove that equation $E ≡ u_1-u_{_x2_t}+u_xf(u)-au_xu_{}x^2-buu_{x^3}=0$ 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.
Citation
M Nadjafikhah. N Pourrostami. "Self-adjointness, Group Classification and Conservation Laws of an Extended Camassa-Holm Equation." J. Gen. Lie Theory Appl. 10 (S2) 1 - 5, 2016. https://doi.org/10.4172/1736-4337.1000S2-004
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