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Making a basic description of a typical characteristic of multichromatic multidirectional ocean surface waves and taking into account widespread wave-current interactions and the rich effects of capillary waves, a complete symmetric solution of trichromatic tri-directional waves in water of finite depth is presented, leading to a sufficient inclusion of and a centralized reflection of the existing monochromatic and multichromatic multidirectional wave theories.
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Keywords:
- multichromatic multidirectional waves /
- surface capillary-gravity waves /
- wave-current interactions /
- a complete symmetric solution
[1] Dysthe K, Krogstad H E 2008 Annu. Rev. Fluid Mech. 40 287
[2] Stokes G G 1847 Trans. Cambridge Philos. Soc. 8 441
[3] Craik A D D 2004 Annu. Rev. Fluid Mech. 36 1
[4] Whitham G B 1974 Linear and Nonlinear Waves (New York: Wiley)
[5] Mei C C, Stiassnie M, Yue D K-P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)
[6] Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)
[7] Huang H 2010 Acta Phys. Sin. 59 740 (in Chinese) [黄 虎 2010 物理学报 59 740]
[8] Sharma J, Dean R 1981 Soc. Pet. Engrs. J. 129
[9] Schffer H A, Steenberg C M 2003 Ocean Engng. 30 1203
[10] Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[11] Zhang J, Chen L 1999 J. Engng. Mech. 125 768
[12] Chakrabarti S K 2005 Handbook of Offshore Engineerring (Amsterdam: Elsevier)
[13] Lan C H , Hu X W, Jiang Z H, Liu M H 2010 Acta Phys. Sin. 59 4093 (in Chinese) [蓝朝辉、 胡希伟、 江中和、 刘明海 2010 物理学报 59 4093]
[14] Xiang A P, Zhong X Q 2009 Chin. Phys. B 18 624
[15] Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in Chinese) [陈海军、 薛具奎 2008 物理学报 57 3962]
[16] Zakharov V E 1968 J. Appl. Tech. Phys. 9 86
[17] Zakharov V E, Lvov V S, Falkovisch G 1992 Kolmogorov Spectra of TurbulenceⅠ: Wave Turbulence ( Berlin: Springer)
[18] Boudaoud A, Cadot O, Odille B, Touze C 2008 Phys. Rev. Lett. 100 234
[19] Nazarenko S, Lukaschuk S, Mclelland S, Denissenko P 2010 J. Fluid Mech. 642 395
[20] Peregrine D H 1976 Adv. Appl. Mech. 16 9
[21] Smith J A 2006 J. Phys. Oceanogr. 36 1403
[22] Perlin M, Schultz W W 2000 Annu. Rev. Fluid Mech. 32 241
[23] Yang C N 1998 Chen Ning Yangs Collection (Shanghai: East China Normal University Press) (in Chinese) [杨振宁 1998 杨振宁文集(上海: 华东师范大学出版社)]
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[1] Dysthe K, Krogstad H E 2008 Annu. Rev. Fluid Mech. 40 287
[2] Stokes G G 1847 Trans. Cambridge Philos. Soc. 8 441
[3] Craik A D D 2004 Annu. Rev. Fluid Mech. 36 1
[4] Whitham G B 1974 Linear and Nonlinear Waves (New York: Wiley)
[5] Mei C C, Stiassnie M, Yue D K-P 2005 Theory and Applications of Ocean Surface Waves (Singapore: World Scientific)
[6] Huang H 2009 Dynamics of Surface Waves in Coastal Waters (Beijing-Berlin: Higher Education Press-Springer)
[7] Huang H 2010 Acta Phys. Sin. 59 740 (in Chinese) [黄 虎 2010 物理学报 59 740]
[8] Sharma J, Dean R 1981 Soc. Pet. Engrs. J. 129
[9] Schffer H A, Steenberg C M 2003 Ocean Engng. 30 1203
[10] Madsen P A, Fuhrman D R 2006 J. Fluid Mech. 557 369
[11] Zhang J, Chen L 1999 J. Engng. Mech. 125 768
[12] Chakrabarti S K 2005 Handbook of Offshore Engineerring (Amsterdam: Elsevier)
[13] Lan C H , Hu X W, Jiang Z H, Liu M H 2010 Acta Phys. Sin. 59 4093 (in Chinese) [蓝朝辉、 胡希伟、 江中和、 刘明海 2010 物理学报 59 4093]
[14] Xiang A P, Zhong X Q 2009 Chin. Phys. B 18 624
[15] Chen H J, Xue J K 2008 Acta Phys. Sin. 57 3962 (in Chinese) [陈海军、 薛具奎 2008 物理学报 57 3962]
[16] Zakharov V E 1968 J. Appl. Tech. Phys. 9 86
[17] Zakharov V E, Lvov V S, Falkovisch G 1992 Kolmogorov Spectra of TurbulenceⅠ: Wave Turbulence ( Berlin: Springer)
[18] Boudaoud A, Cadot O, Odille B, Touze C 2008 Phys. Rev. Lett. 100 234
[19] Nazarenko S, Lukaschuk S, Mclelland S, Denissenko P 2010 J. Fluid Mech. 642 395
[20] Peregrine D H 1976 Adv. Appl. Mech. 16 9
[21] Smith J A 2006 J. Phys. Oceanogr. 36 1403
[22] Perlin M, Schultz W W 2000 Annu. Rev. Fluid Mech. 32 241
[23] Yang C N 1998 Chen Ning Yangs Collection (Shanghai: East China Normal University Press) (in Chinese) [杨振宁 1998 杨振宁文集(上海: 华东师范大学出版社)]
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