Application of higher-order KdV--mKdV model with higher-degree nonlinear terms to gravity waves in atmosphere |
| |
| Authors: | Li Zi-Liang |
| |
| Affiliation: | Department of Marine Meteorology, Laboratory of Air-Sea Interaction and Climate, Ocean University of China, Qingdao 266100, China |
| |
| Abstract: | Higher-order Korteweg-de Vries (KdV)-modified KdV (mKdV) equations
with a higher-degree of nonlinear terms are derived from a simple
incompressible non-hydrostatic Boussinesq equation set in atmosphere
and are used to investigate gravity waves in atmosphere. By taking
advantage of the auxiliary nonlinear ordinary differential equation,
periodic wave and solitary wave solutions of the fifth-order
KdV--mKdV models with higher-degree nonlinear terms are obtained
under some constraint conditions. The analysis shows that the
propagation and the periodic structures of gravity waves depend on
the properties of the slope of line of constant phase and atmospheric
stability. The Jacobi elliptic function wave and solitary wave
solutions with slowly varying amplitude are transformed into
triangular waves with the abruptly varying amplitude and breaking
gravity waves under the effect of atmospheric instability. |
| |
| Keywords: | gravity waves higher-order
KdV--mKdV equation propagating breaking |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
