SIMULATION OF KORTEWEG DE VRIES EQUATION
Korteweg de Vries (KdV) equation has been used as a mathematical model of shallow water waves. In this paper, we present one-, two-, and three-soliton solution of KdV equation. By definition, soliton is a nonlinear wave that maintains its properties (shape and velocity) upon interaction with e...
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| Main Authors: | , , |
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| Format: | Article |
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World Scientific Publishing Company
2012
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| Subjects: | |
| Online Access: | http://library.oum.edu.my/repository/928/2/s2010194512005685.pdf http://library.oum.edu.my/repository/928/ |
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| Summary: | Korteweg de Vries (KdV) equation has been used as a mathematical model of shallow water
waves. In this paper, we present one-, two-, and three-soliton solution of KdV equation. By
definition, soliton is a nonlinear wave that maintains its properties (shape and velocity) upon
interaction with each other. In order to investigate the behavior of soliton solutions of KdV
equation and the interaction process of the two- and three-solitons, computer programs have been
successfully simulated. Results from these simulations confirm that the solutions of KdV equation
obtained are the soliton solutions. (Abstract by authors)
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