Abstract
We analyze soliton solutions and verify the Hirota N-soliton condition for the B-type Kadomtsev–Petviashvili equation, within the Hirota bilinear formulation. A weight number is used in an algorithm to check the Hirota condition while transforming the Hirota function in N wave vectors to a homogeneous polynomial. Soliton solutions are presented under general dispersion relations.
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