Solutions of the Discrete Nonlinear Schrodinger Equation with a Trap

被引：0

作者：

Likhachev, V. N. ^{[1
]}

Vinogradov, G. A. ^{[1
]}

机构：

[1] RAS, Emanuel Inst Biochem Phys, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 201卷 / 03期

关键词：

discrete nonlinear Schrodinger equation; tight-binding approximation; SOLITONS;

D O I：

10.1134/S0040577919120080

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain solutions of the discrete nonlinear Schrodinger equation with an impurity center in two ways. In the first of them, we construct the wave function as a series in a certain parameter. In the second, approximate method, we obtain the wave function in the continuum limit. We compare the obtained solutions with numerical results, and the relative accuracy of the solution in the form of a series does not exceed 10(-15)in order of magnitude.

引用

页码：1771 / 1778

页数：8

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