Numerical simulations of collision behaviors of optical solitons in birefringent fibres

DOI10.1016/j.cnsns.2008.02.009zbMath1221.78043OpenAlexW2087489221MaRDI QIDQ716657

Dai Gui Dong, Jian-Qiang Sun, Hua Wei, Meng-Zhao Qin

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.02.009

zbMATH Keywords

multi-symplectic structurecoupled nonlinear Schrödinger systemcollisions of solitonsmulti-symplectic spectral method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (5)

Geometric integration of the paraxial equation ⋮ Analytic study on the mixed-type solitons for a \((2+1)\)-dimensional \(N\)-coupled nonlinear Schrödinger system in nonlinear optical-fiber communication ⋮ The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs ⋮ A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations ⋮ Interferences and solitons in the Bose-Einstein condensates with two- and three-body interactions

Cites Work

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• Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
• To the integrability of the system of two coupled nonlinear Schrödinger equations
• Fractal dependence of vector-soliton collisions in birefringent fibers
• Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
• Multisymplectic geometry, covariant Hamiltonians, and water waves
• A Practical Guide to Pseudospectral Methods
• Symplectic methods for the nonlinear Schrödinger equation

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