On the Stokes Nonlinear Waves in 2D-Reference-Cited by-同舟云学术

On the Stokes Nonlinear Waves in 2D

Published:2022-03-17 Issue: Volume:2 Page:14-16
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language:en
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Author:

Khatiashvili Nino¹

Affiliation:

1. I. Vekua Institute of Applied Mathematics Iv. Javakhishvili Tbilisi State University 2., University St., 0186Tbilisi GEORGIA

Abstract

The Stokes nonlinear waves associated with the nonlinear problem of a free boundary with peaks in incompressible heavy fluid are studied in 2D. In the early works of the author by using the conformal mapping method this problem was reduced to the nonlinear integral equation with the weakly singular kernel. In this paper one parameter of the mapping is chosen sufficiently small and the equation is linearized. The approximate solution of the linearized equation is obtained. The profile of the free boundary is plotted by means of Maple-12.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference9 articles.

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