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Abstract
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In this article, some novel results to the hyperbolic local (4+1)-dim Boiti-Leon-Manna-Pempinelli (BLMP)
equation signifies the wave propagation over an incompressible fluid. In comparison to deep water, more
essential wave capacity conditions are required for the linearization of the wave structure and strong nonlinear
aspects are evident in shallow water. The explicit solitary wave solutions of the hyperbolic local (4+1)dim
BLMP equation are secured in this study using the generalized exponential rational function (GERF)
approach. The resulting solutions are also validated by the use of computational tools like Maple. The dynamic
characteristics of selected obtained solutions are depicted in 3D along their projections and as 2D graphs for
various choices of arbitrary parameters. The outcomes demonstrate the effectiveness of the GERF approach for
determining the sws of the (4+1)-dim BLMP equation.
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