摘要
从正压涡度方程出发,在弱非线性和弱基流切变条件下,导得了描述非线性大气长波活动的推广的Kdv方程,并得到了方程的孤立波解及其色散关系。取近似于实际大气运动的物理参数作数值计算,得到了振荡型Rosby孤立波的水平结构和移动特征,其结果较之寻常的Kdv孤立波更接近于实际大气中的阻塞流型。
Under weak nonlinear condition and basic flow with weak shear,the generalized KdV equation discribing nonlinear long waves in the atmosphere,its solutions to solitary waves and dispersion relation are derived from barotropic vorticity equation.The stream field and travelling feature of oscillitary Rossby solitary waves are obtained by numerical calculation with the aid of physical parameter of the real atmosphere,which are very close to the features of the bloking in atmosphere.