摘要We present the theoretical and experimental results of water surface wave in a trough with periodical topographic bottom under parametric excitation. There are 19 steps of the same size periodically inserted into the trough. It is found that waveforms observed in the experiment are consistent with theoretical ones. Moreover, some complex and interesting phenomena arise in the experiment due to nonlinearity.
Abstract:We present the theoretical and experimental results of water surface wave in a trough with periodical topographic bottom under parametric excitation. There are 19 steps of the same size periodically inserted into the trough. It is found that waveforms observed in the experiment are consistent with theoretical ones. Moreover, some complex and interesting phenomena arise in the experiment due to nonlinearity.
(Nonlinearity, bifurcation, and symmetry breaking)
引用本文:
WANG Qi;ZHANG Hua;MIAO Guo-Qing;WEI Rong-Jue. Water Surface Wave in a Trough with Periodical Topographic Bottom[J]. 中国物理快报, 2007, 24(8): 2285-2288.
WANG Qi, ZHANG Hua, MIAO Guo-Qing, WEI Rong-Jue. Water Surface Wave in a Trough with Periodical Topographic Bottom. Chin. Phys. Lett., 2007, 24(8): 2285-2288.
[1] Vasseur J O, Deymier P A, Chenni B, Djafari-Rouhani B,Dobrzynski L and Prevost D 2001 Phys. Rev. Lett. 86 3012 [2]Hu X H, Chan C T and Zi J 2005 Phys. Rev. E 71 055601 [3]Smith D R, Padilla W J, Vier D C, Nemat-Nasser S C and SchultzS 2000 Phys. Rev. Lett. 84 4184 [4]Shen Y F, Chen K X, Chen Y F, Liu X H and Zi J 2005 Phys. Rev.E 71 036301 [5]Hu X H, Shen Y F, Liu X H, Fu R T and Zi J 2004 Phys. Rev. E 69 030201 [6]Hu X H, Shen Y F, Liu X H, Fu R T and Zi J 2003 Phys. Rev. E 68 066308 [7]Hu X H and Chan C T 2005 Phys. Rev. Lett. 95 154501 [8]Luan P G and Ye Z 2001 Phys. Rev. E 63 066611 [9]An Z and Ye Z 2004 Appl. Phys. Lett. 84 2952 [10]Osipov V V and Garcia N 2001 Phys. Lett. A 283 209 [11]Huang M J, Kuo C H and Ye Z 2005 Phys. Rev. E 71 011201 [12]Chen W Z, Wei R J and Wang B R 1996 Phys. Rev. E 53 6016 [13]Faraday M 1831 Philos. Trans. R. Soc. London 52 319 [14]Benjamin T B and Ursell F 1954 Proc. R. Soc. London A 297 505 [15]Ni W S and Wei R J 1997 Solitary Wave in Water Trough 8 49 (in Chinese) [16]Miles J W 1984 J. Fluid Mech. 146 285 [17]Yun Y, Miao G Q, Zhang P, Huang K and Wei R J 2005 Phys.Lett. A 343 351 [18]Grataloup G L and Mei C C 2003 Phys. Rev. E 68 026314 [19]Mei C C and Li Y 2004 Phys. Rev. E 70 016302