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Equation Using Exp-Function Method
Hew Vee Nee
Supervisor: Dr. Azwani Binti Alias
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Schwarzian Korteweg-de Vries (SKdV) equation is studied to obtain the exact travelling
wave solutions by means of Exp-function method. SKdV equation is a nonlinear wave
equation, where its nonlinear term is modified by introducing Schwarzian derivative into
the basic Korteweg-de Vries (KdV) equation. It is known that most researchers prefer
numerical method in solving nonlinear problem due to its simple operations. However,
analytical method is used to obtain exact solutions as numerical method will only obtain
approximate solutions. This research is aimed to solve SKdV equation analytically using
Exp-function method and the behavior of exact solutions of SKdV equation is analysed. A
straightforward analytical method called Exp-function method is proposed as the
methodology of this research. This approach provides rational combination of exponential
functions as an ansatz. The families of exact solutions of SKdV equation is the expected
result of the research where solitary and periodic waves can be constructed.
932 | UMT UNDERGRADUATE RESEARCH DAY 2018