INTEGRABLE NONLINEAR BOUNDARY-VALUE-PROBLEMS

被引：15

作者：

LEON, J

机构：

[1] Département de Physique Mathématique, Université Montpellier II

来源：

PHYSICS LETTERS A | 1992年 / 170卷 / 04期

关键词：

D O I：

10.1016/0375-9601(92)90255-K

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct an extension of the spectral transform theory that allows us to build nonlinear systems of coupled wave which are integrable for arbitrary boundary values. These problems occur in many areas of physics and model generic processes of interaction of radiation (for which boundary values are prescribed) with matter (for which an initial value is given). We treat the example of interaction of electromagnetic waves with the ion-acoustic wave in plasmas and prove the total reflexivity due to stimulated Brillouin scattering.

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页码：283 / 288

页数：6

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