Soliton perturbations and the random Kepler problem

DOI10.1016/S0167-2789(99)00118-9zbMath0936.35171OpenAlexW2096503624WikidataQ107199764 ScholiaQ107199764MaRDI QIDQ1964029

Jared C. Bronski, F. Kh. Abdullaev, George S. Papanicolaou

Publication date: 21 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00118-9

zbMATH Keywords

nonlinear Schrödinger equationaction-angle formulationoptical soliton propagation in a fiberrandomly varying parametersstochastic modulation equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (19)

Optical pulse propagation in fibers with random dispersion ⋮ GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations ⋮ Stochastic perturbation of power law optical solitons ⋮ Nonlinear PDEs with Modulated Dispersion I: Nonlinear Schrödinger Equations ⋮ GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions ⋮ Convergence Rates for Adaptive Weak Approximation of Stochastic Differential Equations ⋮ A path integral method for coarse-graining noise in stochastic differential equations with multiple time scales ⋮ A random Schrödinger equation with time-oscillating nonlinearity and linear dissipation/gain ⋮ Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length ⋮ 1D quintic nonlinear Schrödinger equation with white noise dispersion ⋮ A Hamilton–Jacobi approach to the control of the trapping time of a soliton by an external potential ⋮ Analytical studies of the steady solution for optical soliton equation with higher-order dispersion and nonlinear effects ⋮ Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time ⋮ Propagation of ultra-short solitons in stochastic Maxwell's equations ⋮ Computation of minimum action paths of the stochastic nonlinear Schrödinger equation with dissipation ⋮ Modeling and Computation of Bose-Einstein Condensates: Stationary States, Nucleation, Dynamics, Stochasticity ⋮ On perturbative cubic nonlinear Schrödinger equations under complex nonhomogeneities and complex initial conditions ⋮ The effects of weak randomness on pulse interactions and four-wave mixing products ⋮ Dispersion-managed dark–bright vector soliton propagation and interaction in fibre with randomly varying birefringence

Cites Work

• Dynamics of optical pulses in randomly birefringent fibers
• Nonlinear scattering and analyticity properties of solitons
• Asymptotic Transmission of Solitons through Random Media
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Soliton perturbations and the random Kepler problem