skip to main content
Ngôn ngữ:
Giới hạn tìm kiếm: Giới hạn tìm kiếm: Dạng tài nguyên Hiển thị kết quả với: Hiển thị kết quả với: Chỉ mục

On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime

Mitsotakis, Dimitrios ; Dutykh, Denys ; Assylbekuly, Aydar ; Zhakebayev, Dauren

Physics Letters A (2017), Vol. 381, Issue 20, pp. 1719-1726 [Tạp chí có phản biện]

Arxiv ID: 1611.02115

Truy cập trực tuyến

Trích dẫn Trích dẫn bởi
  • Nhan đề:
    On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime
  • Tác giả: Mitsotakis, Dimitrios ; Dutykh, Denys ; Assylbekuly, Aydar ; Zhakebayev, Dauren
  • Chủ đề: Physics - Classical Physics ; Mathematics - Analysis Of Pdes ; Nonlinear Sciences - Pattern Formation And Solitons
  • Là 1 phần của: Physics Letters A (2017), Vol. 381, Issue 20, pp. 1719-1726
  • Mô tả: In this Letter we consider long capillary-gravity waves described by a fully nonlinear weakly dispersive model. First, using the phase space analysis methods we describe all possible types of localized travelling waves. Then, we especially focus on the critical regime, where the surface tension is exactly balanced by the gravity force. We show that our long wave model with a critical Bond number admits stable travelling wave solutions with a singular crest. These solutions are usually referred to in the literature as peakons or peaked solitary waves. They satisfy the usual speed-amplitude relation, which coincides with Scott-Russel's empirical formula for solitary waves, while their decay rate is the same regardless their amplitude. Moreover, they can be of depression or elevation type independent of their speed. The dynamics of these solutions are studied as well. Comment: 16 pages, 9 figures, 18 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/
  • Số nhận dạng: Arxiv ID: 1611.02115

Đang tìm Cơ sở dữ liệu bên ngoài...