Rigorous Asymptotics of a KdV Soliton Gas

We analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutions are characterized by a Riemann–Hilbert problem which we show arises as the limit N → + ∞ of a gas of N -solitons. We...

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Veröffentlicht in:	Communications in mathematical physics 2021-06, Vol.384 (2), p.733-784
Hauptverfasser:	Girotti, M., Grava, T., Jenkins, R., McLaughlin, K. D. T.-R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Classical and Quantum Gravitation Cnoidal waves Complex Systems Elliptic functions Korteweg-Devries equation Mathematical analysis Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Solitary waves Theoretical
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