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Optical Solitons for the Dispersive Concatenation Model with Power-Law Nonlinearity by the Complete Discriminant Approach

Ming-Yue Wang, Anjan Biswas, Yakup Yıldırım, Ali Saleh Alshomrani

2023Contemporary Mathematics18 citationsDOIOpen Access PDF

Abstract

The present paper is a sequel to the paper on the topic with Kerr law nonlinearity. For power-law nonlinearity, it was derived through balancing principle that the solitons would exist for two values of the power-law parameter, namely n = 1 or n = 2. The current paper derives dark and singular solitons for the latter value of n since the first case was already covered in a previous report that was dedicated to address the model with Kerr law.

Topics & Concepts

Concatenation (mathematics)MathematicsNonlinear systemPower lawSolitonLawPower (physics)DiscriminantMathematical analysisApplied mathematicsPhysicsQuantum mechanicsCombinatoricsComputer scienceArtificial intelligencePolitical scienceStatisticsOptical Network TechnologiesAdvanced Fiber Laser TechnologiesNonlinear Waves and Solitons