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Shvoong Home>Science>A Study of the Supercritical Solution of the Stationary Forced KdV Equation (sfkdv) Summary

A Study of the Supercritical Solution of the Stationary Forced KdV Equation (sfkdv)

Article Summary   by:fadzlina     Original Authors: Abdelaziz Hamad; Mukheta
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In this paper we consider stationary Forced KdV equation with positive Forcing term. The supercritical solitary wave solutions of the stationary Forced KdV equation are obtained. In order to obtain the solutions the domain of the problem has been divided in three parts. The left, the middle and the right parts. The solution on the left and the right parts are obtained by analytical method. The solution on the middle part is expressed in the terms of weierstarss elliptic function. We have designed computer programs using Mathematica to produce the solutions. The complete solution was found by matching the solutions of all parts. We have found out that there are four solutions according to the values of the phase shift L. Only one solution is positive. Further research can be carried out for negative forcing terms.
Published: April 17, 2007   
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