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    On the Kadomtsev–Petviashvili equation with double-power nonlinearities
    (Elsevier B.V., 2024) Esfahani, Amin; Levandosky, Steven; Muslu, Gülçin Mihriye
    In this paper, we study the generalized KP equation with double-power nonlinearities. Our investigation covers various aspects, including the existence of solitary waves, their nonlinear stability, and instability. Notably, we address a broader class of nonlinearities represented by ?1|u|pu+?2|u|pu, with p1>p2, encompassing cases where ?1>0 and ?1<0