We construct the pole divisor of the wavefunction for real regular bounded multi-soliton KP-II solutions represented by points in (Formula presented.) on the reducible rational (Formula presented.)-curve (Formula presented.) recently introduced in Abenda and Grinevich (KP theory, plane-bipartite networks in the disk and rational degenerations of (Formula presented.)-curves, 2018. arXiv:1801.00208) and we give evidence that the asymptotic behavior of its zero divisor in the real (x, y)-plane at fixed time t is compatible with the behavior of the soliton solution classified in Chakravarty and Kodama (Stud Appl Math 123:83–151, 2009).
On some properties of KP-II soliton divisors in GrTP(2,4)
Abenda, Simonetta
2019
Abstract
We construct the pole divisor of the wavefunction for real regular bounded multi-soliton KP-II solutions represented by points in (Formula presented.) on the reducible rational (Formula presented.)-curve (Formula presented.) recently introduced in Abenda and Grinevich (KP theory, plane-bipartite networks in the disk and rational degenerations of (Formula presented.)-curves, 2018. arXiv:1801.00208) and we give evidence that the asymptotic behavior of its zero divisor in the real (x, y)-plane at fixed time t is compatible with the behavior of the soliton solution classified in Chakravarty and Kodama (Stud Appl Math 123:83–151, 2009).File in questo prodotto:
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