HOẠT ĐỘNG TRONG TUẦN

On the Zakharov-Rubenchik/Benney-Roskes system
Người báo cáo: Lương Thái Hưng

Thời gian: 9h30, Thứ 3 ngày 6/9/2016
Địa điểm: Phòng 4, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội

Tóm tắt: Zakharov-Rubenchik/Benney-Roskes (Z-R/B-R) system was obtained by V. E. Zakharov-A. M. Rubenchik to model the interaction of low amplitude high frequency waves with low frequency, acoustic type waves, and independently, by D. J. Benney-G. J. Roskes in the context of water wave problem. It does contain as specific limits the well known Zakharov and Davey-Stewartson systems, and it is thus richer than those simpler models and should capture more of the original dynamics. In this talk, I brie y represent about the derivations of this model, the well-known results of its Cauchy problem, then we discuss about its perturbation by a line sollitary wave.

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