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

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

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 ψ c , γ . We then prove the uniqueness of even ground states associated with large speed …