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Exploration of New Solitons for the Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model

Melike Kaplan, Rubayyi T. Alqahtani

2023Mathematics15 citationsDOIOpen Access PDF

Abstract

The key objective of the current manuscript was to investigate the exact solutions of the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we applied two reliable and efficient approaches; specifically, the modified simple equation (MSE) and exponential rational function (ERF) techniques. The methods considered in this paper offer solutions for problems in nonlinear theory and mathematical physics practice. We also present solutions obtained graphically with the Maple package program.

Topics & Concepts

Exponential functionApplied mathematicsSimple (philosophy)Nonlinear systemComputer scienceRational functionKey (lock)MapleFunction (biology)Calculus (dental)MathematicsPhysicsMathematical analysisComputer securityDentistryPhilosophyBiologyEvolutionary biologyMedicineBotanyQuantum mechanicsEpistemologyFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Waves and Solitons
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