【摘要】 从能量的角度出发,采用Hamilton描述并结合变分原理和摄动分析,并借助于符号运算导出了骑行在大波上的小波的Hamilton密度函数和非线性动力学方程。这里的大波和小波是对波高而言的。在Hamilton描述中,正则变量取为波高和速度势。本文导出了描述小波演化的二阶方程,在一阶近似下的方程与Henyey等人(1988)的结果一致。更多还原

【Abstract】 From the view of energy, the Hamiltonian density function and nonlinear dynamical equations of small waves riding on large waves are obtained using the method of perturbation, variational principle and symbolic computation. The sense of small and large waves refers to wave height. Wave height and velocity potential are canonical variables in Hamiltonian formulation. The evolution equations describing small waves are derived to the second order. To the first order approximation, the equations are in agreement with that of Henyey (1988) et al.更多还原