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Autor:
Sun, Ruoci
This paper is dedicated to studying matrix solutions of the cubic Szeg\H{o} equation on the line in Pocovnicu [arXiv:1001.4037, arXiv:1012.2943] and G\'erard--Pushnitski [arXiv:2307.06734], leading to the following matrix Szeg\H{o} equation on $\math
Externí odkaz:
http://arxiv.org/abs/2310.13693
Autor:
Sun, Ruoci
This paper is dedicated to studying the matrix solutions to the cubic Szeg\H{o} equation, introduced in G\'erard--Grellier (2009) arXiv:0906.4540, leading to the cubic matrix Szeg\H{o} equation on the torus, \begin{equation*} i \partial_t U = \Pi_{\g
Externí odkaz:
http://arxiv.org/abs/2309.12136
Autor:
Sun, Ruoci
This paper is dedicated to proving the complete integrability of the Benjamin--Ono (BO) equation on the line when restricted to every $N$-soliton manifold, denoted by $\mathcal{U}_N$. We construct generalized action--angle coordinates which establish
Externí odkaz:
http://arxiv.org/abs/2004.10007
Autor:
Sun, Ruoci
We study the influence of Szeg{\"o} projector $\Pi$ on the L 2 --critical one-dimensional non linear focusing Schr{\"o}dinger equation, leading to the quintic focusing NLS-Szeg{\"o} equation i$\partial$ t u + $\partial$ 2 x u + $\Pi$(|u| 4 u) = 0, (t
Externí odkaz:
http://arxiv.org/abs/1912.10889
Autor:
Sun, Ruoci
We are interested in the influence of filtering the positive Fourier modes to the integrable non linear Schr{\"o}dinger equation. Equivalently, we want to study the effect of dispersion added to the cubic Szeg{\"o} equation, leading to the NLS-Szeg{\
Externí odkaz:
http://arxiv.org/abs/1904.09182
Akademický článek
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Autor:
Sun, Ruoci1 (AUTHOR) ruoci.sun@kit.edu
Publikováno v:
Communications in Mathematical Physics. Apr2021, Vol. 383 Issue 2, p1051-1092. 42p.
Autor:
Sun, Ruoci
Publikováno v:
Equations aux dérivées partielles [math.AP]. Université Paris-Saclay, 2020. Français. ⟨NNT : 2020UPASS111⟩
We are interested in three non linear dispersive Hamiltonian equations: the defocusing cubic Schrödinger equation filtered by the Szegö projector on the torus that cancels every negative Fourier modes, leading to the cubic NLS--Szegö equation on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______212::95e0facf7295fdf44f151119a50b8864
https://tel.archives-ouvertes.fr/tel-03092314
https://tel.archives-ouvertes.fr/tel-03092314
Autor:
Sun, Ruoci
Publikováno v:
Equations aux dérivées partielles [math.AP]. Université Paris-Saclay, 2020. Français. ⟨NNT : 2020UPASS111⟩
We are interested in three non linear dispersive Hamiltonian equations: the defocusing cubic Schrödinger equation filtered by the Szegö projector on the torus that cancels every negative Fourier modes, leading to the cubic NLS--Szegö equation on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2592::95e0facf7295fdf44f151119a50b8864
https://tel.archives-ouvertes.fr/tel-03092314
https://tel.archives-ouvertes.fr/tel-03092314
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
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