Geometric integration of the paraxial equation

DOI10.1016/J.AMC.2011.08.048zbMath1247.65155OpenAlexW2039210061MaRDI QIDQ426318

Jian-Qiang Sun, Xiao-Yan Gu, Xun-Feng Hu

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.048

zbMATH Keywords

numerical experimentsenergy conservationfinite differenceHamiltonian systemsymplectic methods1-dim paraxial equationphotovoltaic-photoreactive crystaltime integration of spatial solitons

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Multi-symplectic method for generalized Boussinesq equation
• Construction of symplectic schemes for wave equations via hyperbolic functions \(\sinh(x)\), \(\cosh(x)\) and \(\tanh(x)\)
• Symplectic integration of Hamiltonian wave equations
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
• New conservation schemes for the nonlinear Schrödinger equation
• Symplectic integration of Hamiltonian systems

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