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arXiv · 2004.10224

Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications

Thiago Pinguello de Andrade·Ademir Pastor
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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.

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Thiago Pinguello de Andrade, Ademir Pastor. 2020-04-21. Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications. https://doi.org/10.1016/j.jmaa.2019.03.011

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