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Multi-Soliton Solution of The Korteweg-de Vries (KdV) Equation
using Hirota Method
Mazrina Binti A. Rahim
Supervisor: Dr. Azwani Binti Alias
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation (PDE)
that has a nonlinearity and dispersion effects that can produces solitary wave known as
soliton.The purpose of this research is to obtain the multi-soliton solutions of KdV
equation by using Hirota bilinear method.Before seking solutions for multi-soliton
solution,the KdV equations will undergo bilinearization with involvement of identities and
properties of the Hirota D-operator.After obtaining the bilinear form for KdV
equation,multi-soliton solution is produced.Hirota method is used to produce multi-soliton
solution which are more simpler,and easier way to be understand compared to other
complicated method such as Inverse Scattering Transform method (IST).Besides,Hirota
bilinear method is the fastest in finding a soliton solutions.Finally,the Mathematica
software is used in obtaining the 1D graphs and surface plot graphs and the interaction
between solitons can be observed.
945 | UMT UNDERGRADUATE RESEARCH DAY 2018