Application of higher-order KdV-mKdV model with higher-degree nonlinear terms to gravity waves in atmosphere

被引:0
|
作者
Li Zi-Liang [1 ]
机构
[1] Ocean Univ China, Dept Marine Meteorol, Lab Air Sea Interact & Climate, Qingdao 266100, Peoples R China
基金
中国国家自然科学基金;
关键词
gravity waves; higher-order KdV-mKdV equation; propagating; breaking; KADOMTSEV-PETVIASHVILI EQUATION; VARIATIONAL ITERATION METHOD; KORTEWEG-DEVRIES EQUATION; SOLITON-LIKE SOLUTIONS; TANH-FUNCTION METHOD; DE-VRIES EQUATION; SCHRODINGER-EQUATIONS; COLLOCATION SOLUTION; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
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页码:4074 / 4082
页数:9
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