Numerical study of Davey–Stewartson I systems
DOI10.1111/sapm.12491arXiv2109.09169OpenAlexW4213256866MaRDI QIDQ6089929
Christian Klein, Nikola M. Stoilov, Unnamed Author, Jörg Frauendiener
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09169
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Self-similar solutions to PDEs (35C06) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical study of blow-up in the Davey-Stewartson system
- On the integrability of equations of Davey-Stewartson type
- Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations
- Dromions and a boundary value problem for the Davey-Stewartson 1 equation
- Degenerative dispersion laws, motion invariants and kinetic equations
- The initial value problem for the elliptic-hyperbolic Davey-Stewartson equation
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves
- Numerical simulation of solitons and dromions in the Davey-Stewartson system
- Local existence in time of solutions to the elliptic-hyperbolic Davey-Stewartson system without smallness condition on the data
- A composite Runge--Kutta method for the spectral solution of semilinear PDEs
- On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
- Global existence of small solutions to the Davey-Stewartson and the Ishimori systems
- Multi-domain spectral approach for the Hilbert transform on the real line
- Spectral approach to the scattering map for the semi-classical defocusing Davey-Stewartson II equation
- A numerical approach to Blow-up issues for Davey-Stewartson II systems
- Numerical study of blow-up and dispersive shocks in solutions to generalized Korteweg-de Vries equations
- Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation
- Localised coherent solutions of the DSI and DSII equations -- a numerical study
- IST Versus PDE: A Comparative Study
- On the evolution of packets of water waves
- Fourth Order Time-Stepping for Kadomtsev–Petviashvili and Davey–Stewartson Equations
- On the initial value problem for the Davey-Stewartson systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Global existence and asymptotic behaviour in time of small solutions to the elliptic - hyperbolic Davey - Stewartson system
- Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
- On two-dimensional packets of capillary-gravity waves
- Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
- NUMERICAL STUDY OF ELLIPTIC-HYPERBOLIC DAVEY–STEWARTSON SYSTEM: DROMIONS SIMULATION AND BLOW-UP
- Time evolution of Gaussian-type initial conditions associated with the Davey - Stewartson equations
- Spectral Methods in MATLAB
- On three-dimensional packets of surface waves
- Electromagnetic waves in ferromagnets: a Davey-Stewartson-type model
- High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data
- Spectral Approach to D‐bar Problems
- Numerical study of the Davey-Stewartson system
- Numerical Study of Blow‐Up Mechanisms for Davey–Stewartson II Systems
- Wave Instabilities
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
This page was built for publication: Numerical study of Davey–Stewartson I systems