Abundance of stable stationary localized solutions to the generalized 1D Swift-Hohenberg equation

被引：16

作者：

Belyakov, LA ^{[1
]}

Glebsky, LY ^{[1
]}

Lerman, LM ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI, INST APPL PHYS, NIZHNII NOVGOROD 603600, RUSSIA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1997年 / 34卷 / 2-4期

关键词：

gradient PDE; localized; homoclinic; stability;

D O I：

10.1016/S0898-1221(97)00127-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A number of stationary localized solutions to the well-known pattern-forming gradient system mentioned in the title have been found. Their search is based on the theory of homoclinic orbits to a saddle-focus equilibrium and some results of linear symmetric differential operators with decaying coefficients along with computer simulations.

引用

页码：253 / 266

页数：14

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