Spectral stability of periodic waves in the generalized reduced Ostrovsky equation

被引：16

作者：

Geyer, Anna ^{[1
]}

Pelinovsky, Dmitry E. ^{[2
,3
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, Fac Elect Engn Math & Comp Sci, Mekelweg 4, NL-2628 CD Delft, Netherlands

[2] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada

[3] Nizhnii Novgorod State Tech Univ, Dept Appl Math, Nizhnii Novgorod 603950, Russia

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2017年 / 107卷 / 07期

基金：

奥地利科学基金会;

关键词：

Reduced Ostrovsky equations; Stability of periodic waves; Energy-to-period map; Negative index theory; ORBITAL STABILITY; ROTATING OCEAN; WELL-POSEDNESS; SHORT-PULSE; BREAKING;

D O I：

10.1007/s11005-017-0941-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider stability of periodic travelling waves in the generalized reduced Ostrovsky equation with respect to co-periodic perturbations. Compared to the recent literature, we give a simple argument that proves spectral stability of all smooth periodic travelling waves independent of the nonlinearity power. The argument is based on the energy convexity and does not use coordinate transformations of the reduced Ostrovsky equations to the semi-linear equations of the Klein-Gordon type.

引用

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页码：1293 / 1314

页数：22

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