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arXiv · 1709.05624

On the stability of the solitary waves to the rotation Benjamin-Ono equation

Mohamad Darwich
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Abstract

In this paper, we study several aspects of solitary wave solutions of the rotation Benjamin-Ono equation. By solving a minimization problem on the line, we construct a family of even travelling waves $\psi_{c,\gamma}$. We also study the strong convergence of this family and we establish the uniqueness of $\psi_{c,\gamma}$ for $\gamma$ small enough. Note that this improves the results in [5] where the stability of the set of ground states is proven.

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Mohamad Darwich. 2017-09-17. On the stability of the solitary waves to the rotation Benjamin-Ono equation. https://arxiv.org/abs/1709.05624

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