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Lie symmetry analysis and conservation laws of a generalized time fractional foam drainage equation. (English) Zbl 1345.35136

Summary: In this paper, a generalized time fractional nonlinear foam drainage equation is investigated by means of the Lie group analysis method. Based on the Riemann-Liouville derivative, the Lie point symmetries and symmetry reductions of the equation are derived, respectively. Furthermore, conservation laws with two kinds of independent variables of the equation are performed by making use of the nonlinear self-adjointness method.

MSC:

35R11 Fractional partial differential equations
37K05 Hamiltonian structures, symmetries, variational principles, conservation laws (MSC2010)
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