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Abundant analytical solutions of the fractional nonlinear (2 + 1)-dimensional BLMP equation arising in incompressible fluid

Chen Yue, Mostafa M. A. Khater, Mustafa İnç, Raghda A. M. Attia, Dianchen Lu

2020International Journal of Modern Physics B36 citationsDOI

Abstract

New analytical wave solutions are investigated of the fractional nonlinear [Formula: see text]-dimensional Boiti–Leon–Manna–Pempinelli equation to explain more physical properties of the dynamical behavior of the incompressible fluid. A new fractional definition is used through the modified Khater method to get novel solitary wave solutions of this model. The stability property of the obtained solutions is tested to show the ability of our obtained solutions in using through the physical experiments. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical performance of this model.

Topics & Concepts

CompressibilityNonlinear systemPhysicsStability (learning theory)NoveltyFractional calculusMathematical analysisMathematicsMechanicsComputer scienceMachine learningPhilosophyTheologyQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems
Abundant analytical solutions of the fractional nonlinear (2 + 1)-dimensional BLMP equation arising in incompressible fluid | Litcius