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This paper is devoted to the study of existence and properties of solitary waves of the Benjamin equation. The studied equation includes a parameter γ in front of the Benjamin-Ono term. We show the existence, uniqueness, decay and orbital stability of solitary wave solutions obtained as a solution to a certain minimization problem, associated either with high speeds without a sign condition on the parameter γ or with low speeds for the appropriate sign.
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Abdallah et al. (2024) studied this question.
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