Cylindrical traveling waves for the generalized cubical Schrodinger equation

被引：2
|
作者：
Kolesov, A. Yu.
Kulikov, A. N.
Rozov, N. Kh.
机构：
[1] Yaroslavl State Univ, Fac Math, Yaroslavl 150000, Russia
[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1134/S1064562406010340
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of finite-amplitude waves an the surface of deep liquid is determined for generalized cubical Schrödinger equation. The cubical Schrödinger equation is a system of two equations that can be written in complex form. The application of the self-similarity principle is illustrated. Homogeneous cycle was used as an invariant of one of the two problems, which was found exponentially orbitally stable or unstable for a given equation. It was found the homogeneous traveling waves are stable.
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页码：125 / 128
页数：4
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