Citation: | Ya-long ZHOU, Zhi-li ZOU, Kai YAN. 2012: Experimental study on modulational instability and evolution of crescent waves. Water Science and Engineering, 5(4): 419-427. doi: 10.3882/j.issn.1674-2370.2012.04.006 |
Akhmediev, N., and Ankiewicz, A. 2011. Modulation instability, Fermi-Pasta-Ulam recurrence, rogue waves, nonlinear phase shift, and exact solutions of the Ablowitz-Ladik equation. Physical Review E, 83(4), 46603-46613. [doi: 10.1103/PhysRevE.83.046603]
|
Annenkov, S. Y., and Shrira, V. I. 2001. Numerical modelling of water-wave evolution based on the Zakharov equation. Journal of Fluid Mechanics [doi:10.1017/S0022112001006139], 449, 341-371.
|
B e n j a m i n , T . B . , a n d F e i r , J . E . 1 9 6 7 . T h e d i s i n t e g r a t i o n o f w a v e t r a i n s o n d e e p w a t e r , P a r t 1 : T h e o r y . < e m > J o u r n a l o f F l u i d M e c h a n i c s 1 0 . 1 0 1 7 / S 0 0 2 2 1 1 2 0 6 7 0 0 0 4 5 X ] < / e m > , 2 7 ( 3 ) , 4 1 7 - 4 3 0 . [ d o i :
|
Chiang, W. S., and Hwung, H. H. 2007. Steepness effect on modulation instability of the nonlinear wave train. Physics of Fluids, 19(1), 1-13. [doi: 10.1063/1.2433941]
|
Collard, F., and Caulliez, G. 1999. Oscillating crescent-shaped water wave patterns. Physics of Fluids, 11(11), 3195-3197. [doi: 10.1063/1.870215]
|
Fructus, D., Clamond, D., Grue, J., and Kristiansen, Ø. 2005. An efficient model for three-dimensional surface waves simulations, Part I: Free space problem. Journal of Computational Physics, 205(2), 665-685. [doi: 10.1016/j.jcp.2004.11.027]
|
Fuhrman, D. R., Madsen, P. A., and Bingham, H. B. 2004. A numerical study of crescent waves. Journal of Fluid Mechanics, 513, 309-341. [doi: 10.1017/S0022112004000060]
|
Hwung, H. H., Chiang, W. S., and Hsiao, S. C. 2007. Observations on the evolution of wave modulation. Proceedings of the Royal Society of London, Series A, Mathematical, Physical and Engineering Sciences, 463(2077), 85-112. [doi: 10.1098/rspa.2006.1759]
|
Kusuba, T., and Mitsuyasu, M. 1986. Nonlinear instability and evolution of steep water waves under wind action. Reports of the Research Institute for Applied Mechanics,33, 33-64.
|
Ma, Y., Dong, G., Perlin, M., Ma, X., Wang, G., and Xu, J. 2010. Laboratory observations of wave evolution, modulation and blocking due to spatially varying opposing currents. Journal of Fluid Mechanics, 661, 108-129. [doi: 10.1017/S0022112010002880]
|
McLean, J. W. 1982a. Instabilities of finite-amplitude water waves. Journal of Fluid Mechanics, 114, 315-330. [doi: 10.1017/S0022112082000172]
|
McLean, J. W. 1982b. Instabilities of finite-amplitude gravity waves on water of finite depth. Journal of Fluid Mechanics, 114, 331-341. [doi: 10.1017/S0022112082000184]
|
Melville, W. K. 1982. The instability and breaking of deep-water waves. Journal of Fluid Mechanics, 115, 165-185. [doi: 10.1017/S0022112082000706]
|
Shrira, V. I., Badulin, S. I., and Kharif, C. 1996. A model of water wave ‘horse-shoe’ patterns. Journal of Fluid Mechanics, 318, 375-405. [doi: 10.1017/S0022112096007161]
|
Stiassnie, M., and Shemer, L. 1987. Energy computations for evolution of class I and II instabilities of Stokes waves. Journal of Fluid Mechanics, 174, 299-312. [doi: 10.1017/S0022112087000132]
|
Su, M. Y. 1982. Three dimensional deep-water waves, Part 1: Experimental measurement of skew and symmetric wave patterns. Journal of Fluid Mechanics, 124, 73-108. [doi:10.1017/ S0022112082002419]
|
Su, M. Y., Bergin, M., Marler, P., and Myrick, R. 1982. Experiments on nonlinear instabilities and evolution of steep gravity-wave trains. Journal of Fluid Mechanics, 124, 45-72. [doi:10.1017/ S0022112082002407]
|
Su, M. Y., and Green, A. W. 1984. Coupled two- and three-dimensional instabilities of surface gravity waves. Physics of Fluids, 27(11), 2595-2597. [doi: 10.1063/1.864556]
|
Su, M. Y., and Green, A. W. 1985. Wave breaking and nonlinear instability coupling. Toba, Y., and Mitsuyasu, H., eds., The ocean Surface: Wave breaking, Turbulent Mixing and Radio Probing. Dordrecht: D. Reidel Publishing Company.
|
Tulin, M. P., and Waseda, T. 1999. Laboratory observations of wave group evolution, including breaking effects. Journal of Fluid Mechanics, 378, 197-232. [doi: 10.1017/S0022112098003255]
|
Wu, M., and Patton, C. E. 2007. Experimental observation of Fermi-Pasta-Ulam recurrence in a nonlinear feedback ring system. Physical Review Letters,98(4), 47202-47205. [doi:10.1103/PhysRevLett.98. 047202]
|