非线性相互作用对平面波色散关系的影响

本文利用小参数摄动方法，对无粘煤质中的非线性波动进行了摄动求解，结果表明：在线性近似下，波动场为无旋位势场。但如果计及非线性及粘性的影响，在二阶近似下，波动将呈现有旋波动，线性理论的色散关系也不再成立。

The Effect of Nonlinear Interaction for the Dispersion Relation of Plane Waves

The nonlinear waves solution in viscous fiuid is derived in this paper by using the perturbation method.It is found that in the first -order approximation, the ware field is vortexfree, but in the second-order, owing to nonlinear interac tion and viscous effect,neither the nonvortex condition nor the linear theory dispersion relation will be satisfied.