伴随均匀流作用的有限水深三阶三色三向表面张力-重力波之完备对称解

摘要

着眼于"多色多向"这一典型的海洋表面波传播特征而以"三色三向"加以基本地刻画,并纳入普遍的波-流相互作用机理和丰富多样的表面张力波效应,由此给出了有限水深三阶三色三向波运动系统的一完备对称解.这是对目前业已存在的经典、现代"单色、多色多向波理论"的一次充分包容和集中反映.%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.