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An analytical method for finding exact solutions of a nonlinear partial differential equation arising in electrical engineering

Md. Nur Alam

2023Open Journal of Mathematical Sciences17 citationsDOIOpen Access PDF

Abstract

In this investigation, we aim to investigate the novel exact solutions of nonlinear partial differential equations (NLPDEs) arising in electrical engineering via the -expansion method. New acquired solutions are kink, particular kink, bright, dark, periodic combined-dark bright and combined-dark singular solitons, and hyperbolic functions solutions. The achieved distinct types of solitons solutions contain critical applications in engineering and physics. Numerous novel structures (3D, contour, and density plots) are also designed by taking the appropriate values of involved parameters. These solutions express the wave show of the governing models, actually.

Topics & Concepts

Nonlinear systemPartial differential equationDifferential (mechanical device)Mathematical analysisPeriodic waveHyperbolic partial differential equationMathematicsPhysicsApplied mathematicsTraveling waveQuantum mechanicsThermodynamicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Optic Sensors
An analytical method for finding exact solutions of a nonlinear partial differential equation arising in electrical engineering | Litcius