Universiti Teknologi Malaysia Institutional Repository

Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons

Sarif, Siti Zarifah (2013) Multi solitons solutions of Korteweg de Vries (KdV) equation : six solitons. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

[img]
Preview
PDF
1MB

Official URL: http://dms.library.utm.my:8080/vital/access/manage...

Abstract

The Korteweg-de Vries (KdV) equation is a nonlinear partial differential equation has nonlinearity and dispersion effects. The balance between these effects leads to a wave propagation that is soliton solution. It propagates without changing it?s shape. The purpose of this research is to obtain the multi solitons solutions of KdV equation up to six-solitons solutions. The Hirota?s bilinear method will be implemented to find the explicit expression for up to six-solitons solutions of KdV equation. Identification of the phase shift that makes full interactions happens at ??=0 and ??=0 for each multi soliton solution of KdV equation. The Maple computer programming will be used to produce the various interactive graphical outputs for up to six-solitons solutions of KdV equation.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2013; Supervisor : Assoc. Prof. Dr. Ong Chee Tiong
Uncontrolled Keywords:korteweg-de vries equation, solitons
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:33230
Deposited By: Kamariah Mohamed Jong
Deposited On:20 Feb 2014 14:51
Last Modified:19 Sep 2017 17:50

Repository Staff Only: item control page