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Chakravarty, Sarbarish
Nonlinear dynamics, 2024/1, Letnik: 112, Številka: 1Journal Article
A family of rational solutions of the Kadomtsev–Petviashvili I equation with N distinct peaks as | t | → ∞ , is characterized in terms of the partitions of a positive integer N . This new approach leads to a complete classification of these N -lump solutions whose properties including the asymptotic location of the peaks are investigated using the Schur function associated with a given partition of N . Relationship between the geometric structures of the N -lump wave pattern and the Young diagram of the associated integer partition is explored.
