SYMPLECTIC NUMERICAL METHODS IN DYNAMICS OF NONLINEAR WAVES
DOI10.1142/S0129183199000760zbMath0945.65141OpenAlexW2087332276MaRDI QIDQ4488303
Publication date: 5 July 2000
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129183199000760
nonlinear Schrödinger equationquasiperiodic motionsymplectic integratorlong-time stabilitystable soliton and homoclinic manifolds
NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
Related Items (1)
Cites Work
- Recent progress in the theory and application of symplectic integrators
- Numerical realization of the inverse scattering method
- Analytical and numerical aspects of certain nonlinear evolution equations. I. Analytical
- Numerical inverse spectral transform for the periodic sine-Gordon equation: Theta function solutions and their linearized stability
- Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
- Symplectic integration of Hamiltonian wave equations
- Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
- Evolution of solitons described by higher-order nonlinear Schrödinger equations
- The accuracy of symplectic integrators
- Symplectic methods for the nonlinear Schrödinger equation
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