Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE

DOI10.1016/j.aml.2020.106583zbMath1460.60068OpenAlexW3034805893MaRDI QIDQ2006294

Yue-Yue Wang, Ben-Hai Wang

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106583

zbMATH Keywords

Hermite transformationBrownian motion functionchirped and chirp-free fractional solitonWick-type stochastic fractional NLSE

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) Fractional partial differential equations (35R11)

Related Items (10)

Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials ⋮ On stability and instability of standing waves for the inhomogeneous fractional Schrödinger equation ⋮ New groups of solutions to the Whitham-Broer-Kaup equation ⋮ Collisional solitons described by two-sided beta time fractional Korteweg-de Vries equations in fluid-filled elastic tubes ⋮ Soliton and other solutions to the (1 + 2)-dimensional chiral nonlinear Schrödinger equation ⋮ Numerical scheme and analytical solutions to the stochastic nonlinear advection diffusion dynamical model ⋮ Optical wave phenomena in birefringent fibers described by space-time fractional cubic-quartic nonlinear Schrödinger equation with the sense of beta and conformable derivative ⋮ Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation ⋮ Dark-multi-soliton and soliton molecule solutions of stochastic nonlinear Schrödinger equation in the white noise space ⋮ WICK-TYPE STOCHASTIC FRACTIONAL SOLITONS SUPPORTED BY QUADRATIC-CUBIC NONLINEARITY

Cites Work

• Unnamed Item
• Stochastic exact solutions of the Wick-type stochastic NLS equation
• Exact solution of the Wick-type stochastic fractional coupled KdV equations
• Analysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noise
• 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
• Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation
• Analytical solution of the space-time fractional nonlinear Schrödinger equation
• Exact solutions for stochastic KdV equations
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Modulation instability and breathers synchronization of the nonlinear Schrödinger Maxwell-Bloch equation
• Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation
• Re-observation on localized waves constructed by variable separation solutions of (1+1)-dimensional coupled integrable dispersionless equations via the projective Riccati equation method
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Martingale solutions of stochastic fractional nonlinear Schrödinger equation on a bounded interval*
• A novel approach for stochastic solutions of wick-type stochastic time-fractional Benjamin–Bona–Mahony equation for modeling long surface gravity waves of small amplitude

This page was built for publication: Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE