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New optical solitons of conformable resonant nonlinear Schrödinger’s equation

Hadi Rezazadeh, Reza Abazari, Mostafa M. A. Khater, Mustafa İnç, Dumitru Bǎleanu

2020Open Physics37 citationsDOIOpen Access PDF

Abstract

Abstract Sardar subequation approach, which is one of the strong methods for solving nonlinear evolution equations, is applied to conformable resonant Schrödinger’s equation. In this technique, if we choose the special values of parameters, then we can acquire the travelling wave solutions. We conclude that these solutions are the solutions obtained by the first integral method, the trial equation method, and the functional variable method. Several new traveling wave solutions are obtained including generalized hyperbolic and trigonometric functions. The new derivation is of conformable derivation introduced by Atangana recently. Solutions are illustrated with some figures.

Topics & Concepts

Conformable matrixTraveling waveNonlinear systemTrigonometryHyperbolic functionTrigonometric functionsMathematical analysisVariable (mathematics)MathematicsMathematical physicsPhysicsGeometryQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions
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