Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method

This thesis is submitted in a partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics 2018.

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Khan, Anika Tahsin
Rannpháirtithe:	Naher, Dr. Hasibun
Formáid:	Tráchtas
Teanga:	English
Foilsithe / Cruthaithe:	BRAC Univeristy 2018
Ábhair:	Differential equation Ordinary differential equation Linear ordinary differential equation Nonlinear ordinary differential equation Partial differential equation Linear partial differential equation Nonlinear partial differential equation Nonlinear evolution equation Fisher equation Travelling wave solution Rational function
Rochtain ar líne:	http://hdl.handle.net/10361/9798

id	10361-9798
record_format	dspace
spelling	10361-97982019-09-30T05:03:17Z Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method Khan, Anika Tahsin Naher, Dr. Hasibun Department of Mathematics and Natural Sciences, BRAC University Differential equation Ordinary differential equation Linear ordinary differential equation Nonlinear ordinary differential equation Partial differential equation Linear partial differential equation Nonlinear partial differential equation Nonlinear evolution equation Fisher equation Travelling wave solution Rational function This thesis is submitted in a partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics 2018. Catalogued from PDF version of thesis. Includes bibliographical references (page 140-147). In this thesis, we have applied the new extension of the generalized and improved ( G' / G) - expansion method in order to find the explicit solutions of non-travelling and travelling wave solutions of Fisher equation. Many new general and abundant solutions are obtained and they have been described in five different families in terms of hyperbolic functions, trigonometric functions and rational functions, involving many new and real parameters. It also shows that the method which has been applied is direct, concise and an effective tool for solving any kinds of nonlinear evolution equations, which arises frequently in applied mathematics, mathematical physics, engineering and in many scientific real time application. Furthermore we have presented the graphical solutions of the obtained solutions by using the computational software Maple. Anika Tahsin Khan B. Mathematics 2018-04-03T10:13:12Z 2018-04-03T10:13:12Z 2018-03-01 Thesis ID 13316001 http://hdl.handle.net/10361/9798 en BRAC University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 147 pages application/pdf BRAC Univeristy
institution	Brac University
collection	Institutional Repository
language	English
topic	Differential equation Ordinary differential equation Linear ordinary differential equation Nonlinear ordinary differential equation Partial differential equation Linear partial differential equation Nonlinear partial differential equation Nonlinear evolution equation Fisher equation Travelling wave solution Rational function
spellingShingle	Differential equation Ordinary differential equation Linear ordinary differential equation Nonlinear ordinary differential equation Partial differential equation Linear partial differential equation Nonlinear partial differential equation Nonlinear evolution equation Fisher equation Travelling wave solution Rational function Khan, Anika Tahsin Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
description	This thesis is submitted in a partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics 2018.
author2	Naher, Dr. Hasibun
author_facet	Naher, Dr. Hasibun Khan, Anika Tahsin
format	Thesis
author	Khan, Anika Tahsin
author_sort	Khan, Anika Tahsin
title	Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
title_short	Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
title_full	Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
title_fullStr	Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
title_full_unstemmed	Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method
title_sort	travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and improved (g'/g) - expansion method
publisher	BRAC Univeristy
publishDate	2018
url	http://hdl.handle.net/10361/9798
work_keys_str_mv	AT khananikatahsin travellingwaveandnontravellingwavesolutionsofnonlinearevolutionequationvianewgeneralizedandimprovedggexpansionmethod
_version_	1814306979322003456

Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method

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