Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential
DOI10.3934/dcdsb.2022206OpenAlexW4221156494MaRDI QIDQ2697241
Publication date: 18 April 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.09599
error estimatesdispersionnonlinear Schrödinger equationsplitting methodslogarithmic nonlinearityrepulsive harmonic potential
Asymptotic behavior of solutions to PDEs (35B40) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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