Dispersive optical solitons of time-fractional Schrödinger-Hirota equation in nonlinear optical fibers

DOI10.1016/J.PHYSA.2019.122619OpenAlexW2973152430MaRDI QIDQ2164543

Yanyan Li

Publication date: 15 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.122619

zbMATH Keywords

power-law nonlinearitymodified Riemann-Liouville fractional derivativeKerr law nonlinearityextended auxiliary equation methodtime-fractional Schrödinger-Hirota equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Statistical mechanics, structure of matter (82-XX)

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Cites Work

• Extended auxiliary equation method and its applications to three generalized NLS equations
• Invariant analysis and conservation laws of \((2+1)\) dimensional time-fractional ZK-BBM equation in gravity water waves
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• A generalized fractional sub-equation method for fractional differential equations with variable coefficients
• Stability of a finite volume element method for the time‐fractional advection‐diffusion equation
• A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation
• New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations
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