Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation
This thesis is submitted in a partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics 2018.
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BRAC Univeristy
2018
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| Acceso en línea: | http://hdl.handle.net/10361/9801 |
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10361-9801 |
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10361-98012019-09-30T03:01:03Z Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation Karmaker, Bishwajit Naher, Dr. Hasibun Department of Mathematics and Natural Sciences, BRAC University Nonlinear partial differential equation Rational function Partial differential equation 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 60-67). Among some new methods, these were introduced to find the exact solution of Non-Linear Partial Differential Equations (NLPDEs), (G'/G) expansion method proposed by Mingliang Wang, is straightforward and easy to handle as it gives rich new solutions. On the other hand, Solitons play a dynamic role in the field of engineering applications and, nonlinear science and it delivers more perception into the related nonlinear scientific occurrences by leading to forthcoming scientific research. So, to check the validity and effectiveness of our method we have implemented the extended (G'/G) expansion method to the (2+1) dimensional breaking soliton equation. The outcomes we have found here, are more common, successfully recovered the most of the earlier recognized results which have been established by other sophisticated methods. We have found some new results as well which will lead us to study some new phenomena in future. We have stated the travelling wave solutions here by three types of family. They are the hyperbolic family, the trigonometric family and, the rational family. The results along with the graphical illustration have revealed the high productivity of this algorithm with trustworthiness. Bishwajit Karmaker B. Mathematics 2018-04-04T05:57:04Z 2018-04-04T05:57:04Z 2018 2018-03-01 Thesis ID 15116004 http://hdl.handle.net/10361/9801 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. 67 pages application/pdf BRAC Univeristy |
| institution |
Brac University |
| collection |
Institutional Repository |
| language |
English |
| topic |
Nonlinear partial differential equation Rational function Partial differential equation |
| spellingShingle |
Nonlinear partial differential equation Rational function Partial differential equation Karmaker, Bishwajit Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| 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 Karmaker, Bishwajit |
| format |
Thesis |
| author |
Karmaker, Bishwajit |
| author_sort |
Karmaker, Bishwajit |
| title |
Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| title_short |
Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| title_full |
Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| title_fullStr |
Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| title_full_unstemmed |
Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| title_sort |
analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation |
| publisher |
BRAC Univeristy |
| publishDate |
2018 |
| url |
http://hdl.handle.net/10361/9801 |
| work_keys_str_mv |
AT karmakerbishwajit analyticalsolutionofnonlinearpartialdifferentialequationbyusingtheextendedggexpansionmethodwithnonlinearauxiliaryequation |
| _version_ |
1814308740833214464 |