WICK-TYPE STOCHASTIC FRACTIONAL SOLITONS SUPPORTED BY QUADRATIC-CUBIC NONLINEARITY

DOI10.1142/S0218348X21501929zbMath1481.78020OpenAlexW3161138264MaRDI QIDQ5025330

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Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21501929

zbMATH Keywords

fractional derivativepatternquadratic-cubic nonlinearityBrownian motion functionWick-type stochastic fractional soliton

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) White noise theory (60H40) NLS equations (nonlinear Schrödinger equations) (35Q55) Mittag-Leffler functions and generalizations (33E12) Lasers, masers, optical bistability, nonlinear optics (78A60) PDEs with randomness, stochastic partial differential equations (35R60) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08) Fractional partial differential equations (35R11) Pattern formations in context of PDEs (35B36)

Related Items (3)

Dynamics of breathers and rogue waves in scalar and multicomponent nonlinear systems ⋮ Dynamics of mixed lump-soliton for an extended (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation ⋮ High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross-Pitaevskii equation in a harmonic potential

Cites Work

• Unnamed Item
• Exact solutions of a two-dimensional nonlinear Schrödinger equation
• Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations
• Counterexamples on Jumarie's three basic fractional calculus formulae for non-differentiable continuous functions
• Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow. I
• Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE
• Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Lorenz Bifurcation: Instabilities in Quasireversible Systems
• LIE SYMMETRY ANALYSIS TO THE WEAKLY COUPLED KAUP–KUPERSHMIDT EQUATION WITH TIME FRACTIONAL ORDER
• THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION
• EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS
• MULTIPLE EXACT SOLUTIONS OF THE GENERALIZED TIME FRACTIONAL FOAM DRAINAGE EQUATION
• Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods

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