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arXiv · 1503.04291

On the existence and analycity of solitary waves solutions to a two-dimesional Benjamin-Ono equation

Germán Preciado López·Félix H. Soriano Méndez
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Abstract

We show the existence, regularity and analyticity of solitary waves associated to the following equation \begin{eqnarray*} (u_t+u^{p}u_x+ \mathcal H\partial_x^2u+ λ\mathcal H\partial_y^2u)_x +μu_{yy}=0, \end{eqnarray*} where $\mathcal H$ is the Hilbert transform with respect to $x$ and $λ$ and $μ$ are nonnegative real numbers, not simultaneously zero.

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Germán Preciado López, Félix H. Soriano Méndez. 2015-03-14. On the existence and analycity of solitary waves solutions to a two-dimesional Benjamin-Ono equation. https://arxiv.org/abs/1503.04291

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