Stability properties of periodic traveling waves for the intermediate long wave equation

被引：9

作者：

Angulo, Jaime ^{[1
]}

Cardoso, Eleomar, Jr. ^{[2
]}

Natali, Fabio ^{[3
]}

机构：

[1] State Univ Sao Paulo, Inst Math & Stat, Sao Paulo, SP, Brazil

[2] Univ Fed Santa Catarina, Blumenau, SC, Brazil

[3] Univ Estadual Maringa, Dept Math, Maringa, PR, Brazil

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2017年 / 33卷 / 02期

关键词：

Stability; periodic waves; ILW equation; evolution models; SOLITARY WAVES; MODEL-EQUATIONS; INSTABILITY; POSITIVITY; FLUIDS;

D O I：

10.4171/rmi/943

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine orbital and linear stability of a class of spatially periodic wavetrain solutions with the mean zero property related to the intermediate long wave equation. Our arguments follow recent developments for the study of the stability of periodic traveling waves.

引用

页码：417 / 448

页数：32

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