Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications
Analysis of PDEs
2020-04-28 v2
Abstract
This paper establishes suficient conditions for the orbital stability of one-parameter spatially periodic traveling-wave solutions for one-dimensional dispersive equations. Our method of proof combines known techniques with some new ideas. As a consequence of our result, we give several applications for well known dispersive equations. Extension of the theory to regularized equations is also established.
Keywords
Cite
@article{arxiv.2004.10224,
title = {Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications},
author = {Thiago Pinguello de Andrade and Ademir Pastor},
journal= {arXiv preprint arXiv:2004.10224},
year = {2020}
}
Comments
31 pages, 12 figures