Persamaan Korteweg-de Vries Orde Tinggi untuk Menggambarkan Gerak Gelombang Internal

Abstract

The ocean can be considered of layers of fluid that each layer has a constant density. Internal waves are waves occur in the interface of every'two layers with different density. Because it occures underneath the surface of the ocean, it is invisible. One of internal waves is internal solitary waves. One of formulation that can describe intemal waves movement is KdV equation. KdV equation is derived from governing equations of ideal fluid in Lagrange formulation using asymptotic method. On this thesis, KdV equation is derived in higher order and then its solution is derived by using internal solitary waves assumption. An example of a two-layer fluid is a case will be used. By using Mathematica6 software, for this case will be obtained the coefficients in lower and higher order explicitly and the corresponding between coefficients and relative lower layer depths and fluid depths, the corresponding between coefficients and relative densities, and also observed the different between solitary waves in lower and higher order.