A charge-preserving compact splitting method for solving the coupled stochastic nonlinear Schrödinger equations

DOI10.1016/j.apnum.2022.06.009zbMath1504.35462OpenAlexW4283211897MaRDI QIDQ2165868

Yanyan Li

Publication date: 23 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.06.009

zbMATH Keywords

stabilitycompact methodcharge conservation lawstochastic multi-symplectic conservation lawStrang splitting methodcoupled stochastic nonlinear Schrödinger equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach

Cites Work

• Unnamed Item
• A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation
• Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching
• Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation
• High-order compact splitting multisymplectic method for the coupled nonlinear Schrödinger equations
• On the preservation of phase space structure under multisymplectic discretization
• Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions
• Weak and strong order of convergence of a semidiscrete scheme for the stochastic nonlinear Schrödinger equation
• Compact finite difference schemes with spectral-like resolution
• Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations
• A stochastic nonlinear Schrödinger equation with multiplicative noise
• Symplectic and multi-symplectic methods for the nonlinear Schrödinger equation
• Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
• Numerical approximation of solution for the coupled nonlinear Schrödinger equations
• Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations
• Parametric spline schemes for the coupled nonlinear Schrödinger equation
• A concise course on stochastic partial differential equations
• Scattering for stochastic nonlinear Schrödinger equations
• A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation
• Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise
• Multi-soliton complexes
• Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations
• Optimal Point-Wise Error Estimate of a Compact Finite Difference Scheme for the Coupled Nonlinear Schrödinger Equations
• Simulating Hamiltonian Dynamics
• STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION WITH ALMOST SPACE–TIME WHITE NOISE
• Compact and efficient conservative schemes for coupled nonlinear <scp>S</scp>chrödinger equations
• Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations
• Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise
• Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise
• The Stochastic Nonlinear Schrödinger Equation inH¹
• Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations
• Stochastic theory of polarized light in nonlinear birefringent media: An application to optical rotation
• Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation
• A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations
• On the Construction and Comparison of Difference Schemes