A study of the supercritical solution of the stationary negative forced KdV equation
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CitationHamad, A. ve Isa, M. (2009). A study of the supercritical solution of the stationary negative forced KdV equation. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 59-60.
In this paper we consider stationary Forced KdV equation with negative 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 to three parts; the left, the middle and the right parts. The solution on the left and the right parts are obtained by an 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 the three parts. We have found out that there are four different solutions according to the values of the phase shift. All solutions are positive.
SourceInternational Conference on Mathematical Sciences
- Makale Koleksiyonu 
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