Similarity Solution of Non-Linear Boussinesq’s Equation Arising in Infiltration of Incompressible Fluid Flow

N. B. Desai


Infiltration of ground water on the ground water surface has been modeled in the form of non-linear Boussinesq’s equation. The solution of the governing equation in height of the mound and time t and distance has been obtained by using Lie –group scaling transformation, we determined the similarity solution. After the introduction of the similarity variables, problem is reduced to ordinary nonlinear fractional differential equation. Exact solutions to ordinary fractional differential equation, which is derived from the non-linear Boussinesq’s equation, is presented.

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