Symplectic numerical methods in dynamics of nonlinear waves

被引：2
|
作者：
Shagalov, AG [1 ]
机构：
[1] Russian Acad Sci, Inst Met Phys, Ekaterinburg 620219, Russia
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1999年 / 10卷 / 05期
关键词：
symplectic integrators; integrable equations; nonlinear Schrodinger equation; integrals of motion; modulational instability; stochastic; higher-order dispersion; optical solitons;
D O I：
10.1142/S0129183199000760
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The symplectic integrator of the Gauss-Legendre type is tested on the nonlinear Schrodinger equation. Preservation of high integrals (up to 10 or more) and quasiperiodic motion have been detected for dynamics on both stable soliton and homoclinic manifolds, which indicate applicability of symplectic integrators for adequate simulation of integrable equation. The tested integrator is applied to the problem of long-time stability of the solitons in higher-derivative nonlinear Schrodinger equation. The slow logarithmic-type depletion of the soliton amplitude with time has been detected.
引用
收藏
页码：967 / 980
页数：14
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