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Explicit solutions to nonlinear Chen–Lee–Liu equation

Lanre Akinyemi, Najib Ullah, Yasir Akbar, Mir Sajjad Hashemi, Arzu Akbulut, Hadi Rezazadeh

2021Modern Physics Letters B25 citationsDOI

Abstract

In this work, a generalized [Formula: see text]-expansion method has been used for solving the nonlinear Chen–Lee–Liu equation. This method is a more common, general, and powerful mathematical algorithm for finding the exact solutions of nonlinear partial differential equations (NPDEs), where [Formula: see text] follows the Jacobi elliptic equation [Formula: see text], and we let [Formula: see text] be a fourth-order polynomial. Many new exact solutions such as the hyperbolic, rational, and trigonometric solutions with different parameters in terms of the Jacobi elliptic functions are obtained. The distinct solutions obtained in this paper clearly explain the importance of some physical structures in the field of nonlinear phenomena. Also, this method deals very well with higher-order nonlinear equations in the field of science. The numerical results described in the plots were obtained by using Maple.

Topics & Concepts

ChenNonlinear systemJacobi elliptic functionsPartial differential equationMathematicsMapleApplied mathematicsTrigonometric functionsElliptic functionTrigonometryField (mathematics)Hyperbolic functionPolynomialElliptic curveElliptic integralSymbolic computationMathematical analysisPure mathematicsPhysicsPaleontologyBiologyGeometryBotanyQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems
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