Soliton solutions of BLMP equation by Lie symmetry approach |
| |
Authors: | Mukesh Kumar Atul Kumar Tiwari |
| |
Affiliation: | Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Allahabad–211004, India |
| |
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. |
| |
Keywords: | BLMP equation Lie symmetry Exact solutions Soliton |
本文献已被 ScienceDirect 等数据库收录! |