A.E.Bukatov, A.A.Bukatov Nonlinear capillary-gravity waves in uniform fluid |
Applied hydromechanics, Vol. 10 (82) ¹ 2, (2008) |
| Asymptotic expansions up to values of third order for the fluid velocity potential and elevation of the fluid's surface are obtained by the method of the multiple scales on the basis of the equations of non-linear waves dynamics in the homogeneous ideal incompressible liquid with taking into account capillary forces. The asymptotic expansions are formed by propagation and non-linear interaction of final amplitude periodic traveling waves the first and the second harmonics. The analytical and numerical analysis of the received solutions is carried out. The changes of structure disturbance received neglect by dependence of potential velocity on the fluid's surface on time-space deformations are studied. |
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| TEXT LANGUAGE: Russian |