Lump Solutions of the Modified Kadomtsev-Petviashvili-I Equation

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Abstract

The modified Kadomtsev-Petviashvili-I equation is studied by the Hirota bilinear method. Certain lump solutions of this equation are found via the ansatz technique. Rational solutions presented include plane bounded lumps, which do not decay in all directions in the space.

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Lump symbolic computation Hirota bilinear method.
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DOI

10.4208/eajam.010819.241019