Galerkin methods for the Davey-Stewartson equations
DOI10.1016/j.amc.2018.01.044zbMath1427.65246OpenAlexW2790213180MaRDI QIDQ2001620
Publication date: 10 July 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.01.044
Galerkin finite element methodDavey-Stewartson equationsexplicit multistep methodextrapolated Crank-Nicolson method
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
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- Implicit-explicit multistep methods for general two-dimensional nonlinear Schrödinger equations
- Numerical study of blow-up in the Davey-Stewartson system
- The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation
- The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
- Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
- Long-wave short-wave resonance case for a generalized Davey-Stewartson system
- Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods
- A new type of soliton behavior of the Davey-Stewartson equations in a plasma system
- A time-splitting Galerkin finite element method for the Davey-Stewartson equations
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- On the integrability of a generalized Davey-Stewartson system
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- Partitioned Time Stepping Method for Fully Evolutionary Stokes--Darcy Flow with Beavers--Joseph Interface Conditions
- Analytical and numerical solutions to the Davey–Stewartson equation with power-law nonlinearity
- Numerical study of the semiclassical limit of the Davey–Stewartson II equations
- Numerical simulation of blow-up solutions for the generalized Davey–Stewartson system
- Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations
- Fourth Order Time-Stepping for Kadomtsev–Petviashvili and Davey–Stewartson Equations
- On the initial value problem for the Davey-Stewartson systems
- On two-dimensional packets of capillary-gravity waves
- On three-dimensional packets of surface waves
- Dynamics of rogue waves in the Davey–Stewartson II equation
- Numerical study of the Davey-Stewartson system
- A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey−Stewartson equations
- Introduction to nonlinear dispersive equations
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