The best known model of incompressible fluid is Boiti–Leon–Manna–Pempinelli (BLMP) equation. It is generally seen as two-dimensional model, also recently the model is seen in three dimensional and with variable coefficients. Till now, bilinear forms of the model are obtained. The exact solutions are not seen in the literature except special cases. This work investigates the exact solutions of the model with the strong methodologies based on auxiliary equation methods.
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