Abstract
Abstract In this article, some new travelling wave solutions of the (3+1) dimensional Boiti–Leon–Manna–Pempinelli (BLMP) equation are obtained using the modified exponential function method. When the solution functions obtained are examined, it is seen that functions with periodic functions are obtained. Two and three dimensional graphs of the travelling wave solutions of the BLMP equation are drawn by selecting the appropriate parameters
Highlights
Nonlinear partial differential equations (NPDE) have an important role to describe natural phenomenon from biology to engineering
Physics and engineering applications have concentrated to the behavior of waves, for this reason solutions of such equations have attracted the attention of many scientists for many years
The equation systems obtained are equalized to zero and A0, A1, . . . , AN, B0, B1, . . . , BM, E, λ, μ are obtained. These coefficients are written in Eq (5) instead of Eq (2) to provide the travelling wave solutions
Summary
Nonlinear partial differential equations (NPDE) have an important role to describe natural phenomenon from biology to engineering. There are various analytical methods in the literature used by researchers to obtain solutions for such equations. We used the Modified Exponential Function Method (MEFM) to the (3+1) dimensional BoitiLeon-Manna-Pempinelli equation (BLMP) which is used to describe incompressible liquid in fluid mechanics. Eq(1) is derived from (2+1)-dimensional Boiti–Leon–Manna– Pempinelli equation by Darvishi et al [16]. They have submitted multisoliton solutions of both equations. Employing Hirota’s bilinear method different types of lump solitons of Eq(1) have been submitted in [18].
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