Abstract
Shallow water wave equations are usually described by Korteweg–de Vries (KdV)-type equations. In this paper, we have used Lie transformation group theory to solve (2+1)-dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation. We have obtained some exact solutions of BLMP equation in the explicit form through similarity reduction. All the reported results are expressed in closed form and analysed physically through their evolution profiles. The physical analysis reveals that the nature of solutions is parabolic, quasi-periodic, multisoliton and asymptotic.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have