参数微分法近似求解一类流体波动问题

Approximate Solution Method for a Hydrodynamical Wave Problems by Parameter Differentiation

针对非线性物理如等离子体物理、流体力学、大气科学等领域中倍受人们关注的一类摄动问题引进“参数微分法”得到其近似解，其结果可用于研讨摄动对原物理问题解的影响．类似的问题在许多动力学问题物理解的数值定性分析及其应用ＷＫＢ方法处理时也会经常遇到．这里的方法仅对一个特例给出，无疑可用于其它类似问题的处理．

A parameter differentiation solution method is proposed for approximately solving a perturbed hydrodynamics wave problem. From the approximate solution obtained by this method, the contribution of the perturbed term in the governing equation can be seen clearly. As application, the method is applied to some well-Known Perturbed Problems relatod to KdV equations frequently met with in fluid mechanics, atmospheric science and space Physics.