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Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations. (English) Zbl 1524.35508

Summary: 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.

MSC:

35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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