【摘要】 本文从P坐标系的非线性大气动力学方程组出发,导出惯性重力内波满足非线性的KdV方程。它的解为椭圆余弦波和孤立波,并讨论了惯性重力内椭园余弦波和孤立波的动力学主要特征。对有限振幅的惯性重力内波,建立了包含波的振幅因子非线性惯性重力内波的色散关系,它的特殊情况即是通常线性的惯性重力内波的色散关系。更多还原

【Abstract】 In this paper, starting from the nonlinear atmospheric dynamic equations in the isobaric coordinate systems, we find that the finite amplitude nonlinear inertio-gravity waves satisfy the KdV equations. Its solution is the cnoidal waves and solitary waves for the inertio-gravity waves, and its dynamic characteristics are discussed.The dispersive relation of the nonlinear inertio-gravity waves contains both the wave number and the amplitude factor. In the condition of the small amplitude, it reduces the dispersive relation of the linear waves.更多还原