On the steady-state fully resonant progressive waves in water of finite depth
暂无分享,去创建一个
Shijun Liao | Zhiliang Lin | Dali Xu | Michael Stiassnie | S. Liao | M. Stiassnie | Zhiliang Lin | Da-li Xu
[1] M. Longuet-Higgins,et al. An experiment on third-order resonant wave interactions , 1966, Journal of Fluid Mechanics.
[2] O. M. Phillips,et al. Wave interactions - the evolution of an idea , 1981, Journal of Fluid Mechanics.
[3] Lev Shemer,et al. On modifications of the Zakharov equation for surface gravity waves , 1984, Journal of Fluid Mechanics.
[4] S. Liao,et al. Beyond Perturbation: Introduction to the Homotopy Analysis Method , 2003 .
[5] O. Phillips. On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions , 1960, Journal of Fluid Mechanics.
[6] M. Stiassnie,et al. On Zakharov's kernel and the interaction of non-collinear wavetrains in finite water depth , 2009, Journal of Fluid Mechanics.
[7] N. E. Huang,et al. Measurements of third-order resonant wave interactions , 1966 .
[8] Shijun Liao,et al. Homotopy Analysis Method in Nonlinear Differential Equations , 2012 .
[9] Shijun Liao. On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves , 2011 .
[10] Chris Swan,et al. The evolution of large non-breaking waves in intermediate and shallow water. I. Numerical calculations of uni-directional seas , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[11] G. Whitham. Mass, momentum and energy flux in water waves , 1962, Journal of Fluid Mechanics.
[12] A. Osborne,et al. Four-wave resonant interactions in the classical quadratic Boussinesq equations , 2009, Journal of Fluid Mechanics.
[13] Francis P. Bretherton,et al. Resonant interactions between waves. The case of discrete oscillations , 1964, Journal of Fluid Mechanics.
[14] G. T. Csanady,et al. Wave interactions and fluid flows , 1987 .
[15] D. Yue,et al. Theory and applications of ocean surface waves. Part 2: nonlinear aspects , 2005 .
[16] M. Longuet-Higgins,et al. Resonant interactions between two trains of gravity waves , 1962, Journal of Fluid Mechanics.
[17] Per A. Madsen,et al. Third-order theory for multi-directional irregular waves , 2012, Journal of Fluid Mechanics.
[18] K. Stewartson,et al. On three-dimensional packets of surface waves , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.
[19] D. J. Benney. Non-linear gravity wave interactions , 1962, Journal of Fluid Mechanics.
[20] Vladimir E. Zakharov,et al. Stability of periodic waves of finite amplitude on the surface of a deep fluid , 1968 .
[21] S. Liao. An optimal homotopy-analysis approach for strongly nonlinear differential equations , 2010 .
[22] S. Liao. A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate , 1999, Journal of Fluid Mechanics.