2024/04/06 by May Abdallah, Abdallah, May, Mohamad Darwich +3
Mathematics · #Advanced Mathematical Physics Problems
paper · pdf · doi:10.48550/arxiv.2404.04711
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.