Dynamics in discrete two-dimensional nonlinear Schrodinger equations in the presence of point defects

被引：37

作者：

Christiansen, PL ^{[1
]}

Gaididei, YB ^{[1
]}

Rasmussen, KO ^{[1
]}

Mezentsev, VK ^{[1
]}

Rasmussen, JJ ^{[1
]}

机构：

[1] RISO NATL LAB, DEPT OPT & FLUID DYNAM, DK-4000 ROSKILDE, DENMARK

来源：

PHYSICAL REVIEW B | 1996年 / 54卷 / 02期

关键词：

D O I：

10.1103/PhysRevB.54.900

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The dynamics of two-dimensional discrete structures is studied in the framework of the generalized two-dimensional discrete nonlinear Schrodinger equation. The nonlinear coupling in the form of the Ablowitz-Ladik nonlinearity and point impurities is taken into account. The stability properties of the stationary solutions are examined. The essential importance of the existence of stable immobile solitons in the two-dimensional dynamics of the traveling pulses is demonstrated. The typical scenario of the two-dimensional quasicollapse of a moving intense pulse represents the formation of standing trapped narrow spikes. The influence of the point impurities on this dynamics is also investigated.

引用

页码：900 / 912

页数：13