International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2019, Vol. 4, Issue 5, Part A

Soliton solution of korteweg-de vries equation


Author(s): Rajib Kumar Bhowmik, Md. Fayz-Al-Asad and Md. Rezaul Karim

Abstract: The Korteweg-de Vries (K-dV) equation plays an important role in studying of the propagation of low amplitude water waves in shallow water bodies and the remarkable discovery of soliton solution K-dV equation that leads to solitary waves. The importance of soliton solution one can predict how energy is transported from one part of medium to another and soliton carries energy away from its sources. Soliton solution has become a breakthrough in mechanics, nonlinear analysis and many developments in algebra, analysis, geometry and physics. We present the analytic solution of K-dV equation and then using finite element analysis to predict the soliton behavior in shallow water bodies. The propagation of long water wave equation is close to the soliton solution of our said equation has been investigated in this study. The valid analytical solution for k-dv equation is restricted to time and hence close to the initial position and time as well. Finite element analysis that leads to the soliton solution of k-dv equation has been observed and compare among the graphical representation in this research.

Pages: 45-48 | Views: 234 | Downloads: 22

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How to cite this article:
Rajib Kumar Bhowmik, Md. Fayz-Al-Asad, Md. Rezaul Karim. Soliton solution of korteweg-de vries equation. Int J Stat Appl Math 2019;4(5):45-48.
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