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Keyword: Lump

Multi-lump solutions to the KPI equation with a zero degree of derivation

We construct solutions to the Kadomtsev-Petviashvili equation (KPI) by using an extended Darboux transform. From elementary functions we give a method that provides different types of solutions in terms of wronskians of order N. For a given order, these solutions depend on the degree of summation and the degree of derivation of the generating functions. […]

Multi-lump solutions to the KPI equation with a zero degree of derivation