ERMAKOV HAMILTONIAN-SYSTEMS IN NONLINEAR OPTICS OF ELLIPTIC GAUSSIAN BEAMS

被引：45

作者：

GONCHARENKO, AM

LOGVIN, YA

SAMSON, AM

SHAPOVALOV, PS

TUROVETS, SI

机构：

[1] B.I. Stepanov Institute of Physics, BSSR Academy of Sciences

来源：

PHYSICS LETTERS A | 1991年 / 160卷 / 02期

关键词：

D O I：

10.1016/0375-9601(91)90602-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the systems of equations describing the propagation of elliptic Gaussian beams in a nonlinear medium are Ermakov Hamiltonian systems. It is demonstrated that these systems are completely integrable. The condition under which any Ermakov system is also a Hamiltonian system is determined.

引用

页码：138 / 142

页数：5

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