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A complete symmetric solution for trichromatic tri-directional surface capillary-gravity waves with uniform currents in water of finite depth

Huang Hu Xia Ying-Bo

A complete symmetric solution for trichromatic tri-directional surface capillary-gravity waves with uniform currents in water of finite depth

Huang Hu, Xia Ying-Bo
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Publishing process
  • Received Date:  15 September 2009
  • Accepted Date:  04 July 2010
  • Published Online:  05 February 2011

A complete symmetric solution for trichromatic tri-directional surface capillary-gravity waves with uniform currents in water of finite depth

  • 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Abstract: 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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