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Ring solitons and lump waves of the elliptic cylindrical Kadomtsev-Petviashvili equation in physical coordinates

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The elliptic cylindrical Kadomtsev-Petviashvili (ecKP) equation is derived from the incompressible Euler equations governing surface gravity waves with nearly elliptic fronts. Using Hirota's bilinear method, this paper systematically investigates ring soliton... ...