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( G′<br />

)-Expansion Method for Solving Korteweg-de Vries Equation<br />

G<br />

Chai Yong Xin<br />

Supervisor: Dr. Azwani Binti Alias<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

In this research, we focused on nonlinear partial differential equation (NLPDE), especially<br />

for the traveling wave phenomena. Traveling wave can be modeling into mathematical<br />

modeling, namely Korteweg-de Vries (KdV) equation. NLPDE can be solved numerically<br />

and analytically, it is easier and faster to get the approximate traveling wave solutions<br />

numerically but that is too complicated to get the exact traveling wave solutions<br />

analytically. However, ( G′<br />

)-expansion method is an analytical method to solve KdV<br />

G<br />

equation easily and directly by transforming the NLPDE to second order ordinary<br />

differential equation (ODE). By using the ( G′<br />

)-expansion method to solve the KdV<br />

equation, a set of traveling wave solutions are expressed by hyperbolic, trigonometric<br />

and rational functions. Thus, the obtained results will be analysed and showed graphically<br />

by using Mathematica.<br />

G<br />

921 | UMT UNDERGRADUATE RESEARCH DAY 2018

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