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Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach

E. M. E. Zayed, Mona El–Shater, Ahmed H. Arnous, Yakup Yıldırım, Layth Hussein, Anwar Ja’afar Mohamad Jawad, S. Saravana Veni, Anjan Biswas

2024The European Physical Journal Plus11 citationsDOIOpen Access PDF

Abstract

Abstract Revisiting the study of quiescent optical solitons with quintuple-power-law self-phase modulation and nonlinear chromatic dispersion is the focus of the current paper. The soliton solutions to the model are revealed through the intermediary Jacobi’s elliptic functions using the enhanced direct algebraic method. The intermediary Weierstrass’ elliptic functions are used by the sub-ODE approach to reveal such quiescent soliton solutions.

Topics & Concepts

OdeNonlinear systemDispersion (optics)Algebraic numberPower lawMathematicsPhysicsApplied mathematicsMathematical analysisOpticsQuantum mechanicsStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies
Quiescent optical solitons with Kudryashov’s generalized quintuple-power law and nonlocal nonlinearity having nonlinear chromatic dispersion with generalized temporal evolution by enhanced direct algebraic method and sub-ODE approach | Litcius