Rossby solitary waves excited by the unstable topography in weak shear flow
Rossby solitary waves excited by the unstable topography in weak shear flow
复制标题
DOI：
10.1007/s11071-017-3700-1
复制
发表时间：
2017-08
影响因子：
5.6
通讯作者：
Baojun Zhao;Ru-Yun Wang;Qing Fang;Wen-Jin Sun;Tian-Ming Zhan
中科院分区：
文献类型：
--
作者：
Baojun Zhao;Ru-Yun Wang;Qing Fang;Wen-Jin Sun;Tian-Ming Zhan
导出了一个新的包含地形的强迫KdV方程，并给出了数值解。地形变量应与时空函数有关，称为不稳定地形。通过理论分析，讨论了孤立波在质量和能量方面的物理特性。在进一步的研究中，采用伪谱数值方法讨论了经向波数变化时地形产生的孤立波的演化；同样地，我们分析了经向波数时的孤立波。最后，对两种波的特征进行了比较，其中经向数波起主导作用。
A new forced KdV equation including topography is derived and the numerical solutions are given. The topographic variable should be related with the temporal and spatial function, which is called unstable topography. The physical features of the solitary waves about the mass and energy are discussed by theoretical analysis. In further studies, the pseudo-spectral numerical methods are used to discuss the evolution of solitary wave generated by the topography when meridional wave number; in a similar way, we analyze the solitary wave when meridional wave number. At last, we make the comparison for the characteristics of waves betweenand, the wave of meridional numberplays a leading role.