Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair

In this paper, a two parameter group transformation is applied to the Lax pair of a (2+1) Boiti–Leon–Manna–Pempinelli (BMLP). Three similarity variables are derived. For each case, the Lax pair is reduced to a system of ordinary differential equations. The homogenous balance of this system results in solitary wave solutions.