Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice

被引：3

作者：

Makhmudova, M. G. ^{[1
]}

Khanmamedov, A. Kh. ^{[1
,2
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 12期

关键词：

Langmuir lattice; Cauchy problem; asymptotic periodic solution; theory of existence of solution;

D O I：

10.1134/S0965542515120088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Cauchy problem for the Langmuir lattice with the initial condition in the form of the sum of a periodic and a rapidly decreasing sequences is studied by the method of inverse scattering problem. A method for constructing a periodic solution of the Langmuir lattice from a known periodic solution is proposed. The existence of an asymptotically periodic solution is proven.

引用

页码：2008 / 2013

页数：6

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