Abstract
Through the commutator table and the adjoint table between the infinitesimals, we apply two stages of Lie symmetry reduction to reduce the (2[Formula: see text]+[Formula: see text]1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation to ordinary differential equations (ODE’s). Some of these ODE’s had no quadrature. We derive several new solutions for these non-solvable ODE’s using Integrating Factors property.
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