Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential

DOI10.3934/DCDSB.2022206zbMath1518.35571arXiv2202.09599MaRDI QIDQ6391582

Rémi Carles, Chun-Mei Su

Publication date: 19 February 2022

Mathematics Subject Classification ID

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) 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) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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