- NONLINEAR SCHRODINGER EQUATION SOFTWARE
- NONLINEAR SCHRODINGER EQUATION SERIES
- NONLINEAR SCHRODINGER EQUATION FREE
Solving the cubic Nonlinear Schrodinger equation using 32 algorithms of order up to 8.This allows for easier reproduction of results, lowers the barrier to entry for new researchers, and alleviates the need to reinvent the wheel.
NONLINEAR SCHRODINGER EQUATION SOFTWARE
The purpose of this package is to encourage the use of open source software in studying these equations, as most if not all works in this field rely on closed-source codes. NonlinearSchrodinger.jl is a suite of tools for studying Nonlinear Schrodinger equations. Sharp condition of global well-posedness for inhomogeneous nonlinear Schrödinger equation.ĭiscrete & Continuous Dynamical Systems - S,Ĭross-constrained variational methods for the nonlinear Klein-Gordon equations with an inverse square potential.Installation julia> ]add NonlinearSchrodinger Zhang, Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement, Nonlinear Anal., 196 (2020), 111832, 7 pp.ĭoi: 10.1016/j.na.2020.111832. Sharp energy criteria and singularity of blow-up solutions for the Davey-Stewartson system, Commun. Sharp threshold for blowup and global existence in nonlinear Schrödinger equations under a harmonic potential, Comm. Zhang, Cross-constrained variational problem and nonlinear Schrödinger equation, Foundations of Computational Mathematics, World Scientific Publishing, River Edge, NJ, 2002,457–469. Stability of attractive Bose-Einstein condensates, J. Xu, Cross-constrained problems for nonlinear Schrödiner equation with harmonic potential, Electron. Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Global solutions and stable ground states of nonlinear Schrödinger equations, Phys.
NONLINEAR SCHRODINGER EQUATION SERIES
International Series of Monographs on Physics, The Clarendon Press, Oxford University Press, Oxford, 2003. Zhang, Mass concentration for nonlinear Schrödinger equation with partial confinement, J. Saddle points and instability of nonlinear hyperbolic equations, Israel. Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement, Commun. Lev, Strongly dipolar Bose-Einstein condensate of dysprosium, Phys. Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case, Invent. Pomeau, Nonlinear aspects of the theory of Bose-Einstein condensates, Nonlinearity, 14 (2001), R25–R62. Phys., 283 (2008), 93-125.Ī sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation, Comm.
Sharp threshold of global existence and insatbility of standing wave for a Davey-Stewartson system, Comm. Scattering for the non-radial 3D cubic nonlinear Schrödinger equation, Math. On the Gross-Pitaevskii equation for trapped dipolar quantum gases, Nonlinearity, 21 (2008), 2569-2590. Cazenave, Semilinear Schrödinger Equations, Courant Institute of Mathematical Sciences, American Mathematical Society, New York, 2003. Visciglia,Įxistence and stability of standing waves for supercritical NLS with a partial confinement, Commun. Mathematical theory and numerical methods for Bose-Einstein condensation, Kinet.
NONLINEAR SCHRODINGER EQUATION FREE
Numerical simulations of x-ray free electron lasers (XFEL), Multiscale Model. Scattering for nonlinear Schrödinger equation under partial harmonic confinement, Comm.