A NUMERICAL STUDY OF THE NONLINEAR SCHRODINGER-EQUATION INVOLVING QUINTIC TERMS

被引：24

作者：

CLOOT, A

HERBST, BM

WEIDEMAN, JAC

机构：

[1] Department of Applied Mathematics, The University of the Orange Free State, Bloemfontein, 9300

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1990年 / 86卷 / 01期

关键词：

D O I：

10.1016/0021-9991(90)90094-H

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The cubic-quintic Schrödinger equation is known to possess solutions that grow unboundedly in finite time. By exploiting its conservation properties we derive sufficient conditions for bounded solutions. The computation of solutions near the critical threshold poses difficulties, since the number of active Fourier-components increase dramatically, resulting in steep temporal and spatial gradients. To overcome this difficulty we propose an efficient pseudospectral scheme which adaptively adjust the number of degrees of freedom. © 1990.

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页码：127 / 146

页数：20

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