Paper detail

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

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.

preprint2020arXivOpen access

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