| Abstract: |
| In this talk, we investigate a nonlinear partial differential equation of fluid mechanics, namely, the generalized nonlinear advection-diffusion equation, which describes the movement of a buoyancy-driven plume in an inclined porous medium. We shall consider three cases of n and in each case, we shall provide symmetry reductions and group-invariant solutions based on the optimal systems of one-dimensional subalgebras. Furthermore,
we determine the conserved vectors by employing the multiplier approach. |
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