科研之友
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摘要
In this paper,a modified version of the solution in form of a Gramian formula is employed to investigate a new type of multiple lump molecule solution of the Kadomtsev-Petviashvili I equation.The high-order multiple lump molecules consisting of M N-lump molecules are constructed by means of the Mth-order determinant and the non-homogeneous polynomial in the degree of 2N.The interaction solutions describing P line solitons radiating P of the M N-lump molecules are constructed.The dynamic behaviors of some specific solutions are analyzed through numerical simulation.All the results will enrich our understanding of the multiple lump waves of the Kadomtsev-Petviashvili I equation.
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