| 초록 |
In this study, the nonlinear dynamics of a small Reynolds number(Re)-film flow down an inclined plane has been investigated under an electrostatic field to find the existence of the solitary waves and their dynamical characteristics. First owing to the introduction of the moving frame at a same speed as a solitary wave into the obtained evolution equation, the partial differential equation has been reduced to the set of three ordinary differential equations of steady wave. The existences of two types of solitary waves are addressed and shown along with their homoclinic or heteroclinic trajectories on the phase space. The real pulse-like solitary wave has been developed from a small bump in the periodic domain by numerical calculations, whereas the hydraulic jump has been evolved from the step-function like initial condition. |
