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Results relating to Hirota method and singularity analysis on some nonlinear waves equations

This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear forms, together with the use of Hirota...

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Main Authors: Chia, Chee Pen, Abd. Aziz, Zainal
Format: Article
Published: 2012
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/33067/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70293
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spelling my.utm.330672019-03-26T08:07:54Z http://eprints.utm.my/id/eprint/33067/ Results relating to Hirota method and singularity analysis on some nonlinear waves equations Chia, Chee Pen Abd. Aziz, Zainal Q Science This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear forms, together with the use of Hirota D-operator and various types of transformation. In general, finding the proper substitution to obtain the Hirota bilinear form is not an easy task. Singularity analysis is used to formulate this suitable transformation. This analysis is applied to Korteweg-de Vries (KdV), modified KdV and nonlinear Schroedinger (NLS) equations. 2012 Article PeerReviewed Chia, Chee Pen and Abd. Aziz, Zainal (2012) Results relating to Hirota method and singularity analysis on some nonlinear waves equations. Jurnal Sains dan Matematik, 4 (1). pp. 1-10. ISSN 1985-7918 http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70293
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Chia, Chee Pen
Abd. Aziz, Zainal
Results relating to Hirota method and singularity analysis on some nonlinear waves equations
description This article investigates on the connection between singularity analysis and Hirota method i.e. a direct method to obtain the multi-soliton solutions of nonlinear waves equations. This includes equations with single bilinear form and coupled system of bilinear forms, together with the use of Hirota D-operator and various types of transformation. In general, finding the proper substitution to obtain the Hirota bilinear form is not an easy task. Singularity analysis is used to formulate this suitable transformation. This analysis is applied to Korteweg-de Vries (KdV), modified KdV and nonlinear Schroedinger (NLS) equations.
format Article
author Chia, Chee Pen
Abd. Aziz, Zainal
author_facet Chia, Chee Pen
Abd. Aziz, Zainal
author_sort Chia, Chee Pen
title Results relating to Hirota method and singularity analysis on some nonlinear waves equations
title_short Results relating to Hirota method and singularity analysis on some nonlinear waves equations
title_full Results relating to Hirota method and singularity analysis on some nonlinear waves equations
title_fullStr Results relating to Hirota method and singularity analysis on some nonlinear waves equations
title_full_unstemmed Results relating to Hirota method and singularity analysis on some nonlinear waves equations
title_sort results relating to hirota method and singularity analysis on some nonlinear waves equations
publishDate 2012
url http://eprints.utm.my/id/eprint/33067/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:70293
_version_ 1643649220467490816
score 13.211869

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