Autor:	Kalamvokas, P., Papageorgiou, V. G., Fokas, A. S., Sung, L. -Y.
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems 35Q53 35Q15 35Q35 58F07
Druh dokumentu:	Working Paper
Popis:	We investigate the Cauchy problem on the cylinder, namely the semi-periodic problem where there is periodicity in the $x$-direction and decay in the $y$-direction, for the Kadomtsev-Petviashvili II equation by the inverse spectral transform method. For initial data with small $L^1$ and $L^2$ norms, assuming the zero mass constraint, this initial-value problem is reduced to a Riemann-Hilbert problem on the boundary of certain infinite strips with shift.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.10745 Zobrazit plný text záznamu View this record from Arxiv