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- Title
Multi-lump solutions of KPI.
- Authors
Chakravarty, Sarbarish
- Abstract
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.
- Subjects
KEY performance indicators (Management); SCHUR functions; KADOMTSEV-Petviashvili equation; BIFURCATION diagrams; PARTITIONS (Mathematics); INTEGERS
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 1, p575
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09044-y