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Numerical study of the generalised Klein-Gordon equations.(Report)

Dutykh, Denys ; Chhay, Marx ; Clamond, Didier

Physica D: Nonlinear Phenomena, June 1, 2015, Vol.304-305, p.23(11) [Tạp chí có phản biện]

ISSN: 0167-2789

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  • Nhan đề:
    Numerical study of the generalised Klein-Gordon equations.(Report)
  • Tác giả: Dutykh, Denys ; Chhay, Marx ; Clamond, Didier
  • Chủ đề: Wave Propagation
  • Là 1 phần của: Physica D: Nonlinear Phenomena, June 1, 2015, Vol.304-305, p.23(11)
  • Mô tả: To link to full-text access for this article, visit this link: http://dx.doi.org/10.1016/j.physd.2015.04.001 Byline: Denys Dutykh, Marx Chhay, Didier Clamond Abstract: In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalised Klein-Gordon (gKG) equations possess a variational formulation, as well as a canonical Hamiltonian and multi-symplectic structures. Periodic travelling wave solutions are constructed numerically to high accuracy and compared to a seventh-order Stokes expansion of the full Euler equations. Then, we propose an efficient pseudo-spectral discretisation, which allows to assess the stability of travelling waves and localised wave packets. Article History: Received 12 August 2013; Revised 22 March 2015; Accepted 8 April 2015 Article Note: (miscellaneous) Communicated by E.S. Titi
  • Ngôn ngữ: English
  • Số nhận dạng: ISSN: 0167-2789

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