Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation
DOI10.1016/j.cnsns.2024.108400MaRDI QIDQ6649291
Dong Yan, Yezi Xu, Renjie Han, Hao Fu
Publication date: 5 December 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
energy dissipationdamped nonlinear Schrödinger equationStrang splitting methodconformal structure-preserving methods
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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