Spectral stability of periodic waves in the generalized reduced Ostrovsky equation

Title

Spectral stability of periodic waves in the generalized reduced Ostrovsky equation

 Author

Geyer, A. (TU Delft Mathematical Physics)
Pelinovsky, Dmitry (McMaster University; Nizhni Novgorod State Technical University)

Date

2017-02-02

 Abstract

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.


 Subject

Energy-to-period map
Negative index theory
Reduced Ostrovsky equations
Stability of periodic waves

 To reference this document use:

http://resolver.tudelft.nl/uuid:ad387b5a-8c0f-446f-9e61-04f49c929567

 DOI

https://doi.org/10.1007/s11005-017-0941-3

 ISSN

0377-9017

 Source

Letters in Mathematical Physics, 107 (7), 1293-1314

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2017 A. Geyer, Dmitry Pelinovsky
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