Low-regularity integrator for the Davey-Stewartson II system

DOI10.1007/s10915-024-02467-8MaRDI QIDQ6123357

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Publication date: 4 March 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

first-order convergencelow-regularity integratorhyperbolic-elliptic Davey-Stewartson system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system
• Operator splitting methods for generalized Korteweg-de Vries equations
• On the Davey-Stewartson systems
• Decay of weak solutions to the Davey-Stewartson systems
• Numerical simulation of solitons and dromions in the Davey-Stewartson system
• On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems
• Low regularity exponential-type integrators for semilinear Schrödinger equations
• Global existence of small solutions to the Davey-Stewartson and the Ishimori systems
• A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón
• A fully discrete low-regularity integrator for the nonlinear Schrödinger equation
• Low-regularity integrator for the Davey-Stewartson system: elliptic-elliptic case
• Embedded exponential-type low-regularity integrators for KdV equation under rough data
• A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation
• Sharp threshold for scattering of a generalized Davey-Stewartson system in three dimension
• An exponential-type integrator for the KdV equation
• A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect
• Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
• On finite-difference methods for the Korteweg-de Vries equation
• On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
• Exponential integrators
• Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
• Convergence of a Higher Order Scheme for the Korteweg--De Vries Equation
• On the evolution of packets of water waves
• On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
• On the initial value problem for the Davey-Stewartson systems
• Error analysis for spectral approximation of the Korteweg-de Vries equation
• Bidimensional optical solitons in a quadratic medium
• A Conservative Finite Element Method for the Korteweg-de Vries Equation
• Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
• On two-dimensional packets of capillary-gravity waves
• Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
• On three-dimensional packets of surface waves
• A Local Discontinuous Galerkin Method for KdV Type Equations
• Operator splitting for partial differential equations with Burgers nonlinearity
• Electromagnetic waves in ferromagnets: a Davey-Stewartson-type model
• Optimal convergence of a second-order low-regularity integrator for the KdV equation
• A first-order Fourier integrator for the nonlinear Schrödinger equation on 𝕋 without loss of regularity
• An Embedded Exponential-Type Low-Regularity Integrator for mKdV Equation
• Numerical scattering for the defocusing Davey–Stewartson II equation for initial data with compact support
• Numerical study of the Davey-Stewartson system
• Error estimates of finite difference schemes for the Korteweg–de Vries equation
• Gauge-Transformed Exponential Integrator for Generalized KdV Equations with Rough Data
• A constructive low-regularity integrator for the one-dimensional cubic nonlinear Schrödinger equation under Neumann boundary condition

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