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The Hirota's direct method and multi-soliton solutions

Chia, Chee Pen (2010) The Hirota's direct method and multi-soliton solutions. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract

The study of soliton theory is always a major source of mathematical and physical inspiration. For the past few decades, soliton theory has attracted considerable attention in diverse physical applications and the various mathematical methods of solution. This project discusses on the direct method of Hirota to obtain the multi-soliton solutions of physically significant nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear form, together with the use of Hirota D-operator and various types of transformation. Singularity analysis is used to formulate the suitable transformation.

Item Type:Thesis (Masters)
Additional Information:Thesis (Sarjana Sains (Matematik)) - Universiti Teknologi Malaysia, 2010; Supervisor : Assoc. Prof. Dr. Zainal Abdul Aziz
Uncontrolled Keywords:soliton theory, Hirota, multi-soliton solutions, nonlinear waves equations
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:11576
Deposited By: Ms Zalinda Shuratman
Deposited On:22 Dec 2010 06:01
Last Modified:02 Jul 2012 07:12

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