Second-order solutions for random interfacial waves in N-layer density stratified fluid with steady uniform currents

• 来源期刊: 中国物理B（英文版）
• 关键词: N-layer density-stratified fluid uniform currents random interracial waves secondorder solutions
• 年，卷（期）: 2008,（9）
• 页码范围: 3387-3393
• 页数: 7页
• 语种: 英文

摘要

In the present paper,the random interfacial waves in N-layer density-stratified fluids moving at different steady uniform speeds are researched by using an expansion technique,and the second-order asymptotic solutions of the random displacements of the density interfaces and the associated velocity potentials in N-layer fluid are presented based on the small amplitude wave theory.The obtained results indicate that the wave-wave second-order nonlinear interactions of the wave components and the second-order nonlinear interactions between the waves and currents are described.As expected,the solutions include those derived by Chen(2006)as a special case where the steady uniform currents of the N-layer fluids are taken as zero,and the solutions also reduce to those obtained by Song(2005)for second-order solutions for random interracial waves with steady uniform currents if N=2.