An analytical method for finding exact solutions of modified Korteweg–de Vries equation
In this present work, we have studied new extension of the (G′/G)-expansion method for finding the solitary wave solutions of the modified Korteweg–de Vries (mKdV) equation. It has been shown that the proposed method is effective and can be used for many other nonlinear evolution equations (NLEEs) i...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-01-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137971500008X |
| _version_ | 1818108468932902912 |
|---|---|
| author | Md. Shafiqul Islam Kamruzzaman Khan M. Ali Akbar |
| author_facet | Md. Shafiqul Islam Kamruzzaman Khan M. Ali Akbar |
| author_sort | Md. Shafiqul Islam |
| collection | DOAJ |
| description | In this present work, we have studied new extension of the (G′/G)-expansion method for finding the solitary wave solutions of the modified Korteweg–de Vries (mKdV) equation. It has been shown that the proposed method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. The obtained results show that the method is very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering. |
| first_indexed | 2024-12-11T02:15:51Z |
| format | Article |
| id | doaj.art-a0f6f01e89dc451d83be0b21baf4fdac |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-11T02:15:51Z |
| publishDate | 2015-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-a0f6f01e89dc451d83be0b21baf4fdac2022-12-22T01:24:10ZengElsevierResults in Physics2211-37972015-01-015C13113510.1016/j.rinp.2015.01.007An analytical method for finding exact solutions of modified Korteweg–de Vries equationMd. Shafiqul Islam0Kamruzzaman Khan1M. Ali Akbar2Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, Pabna 6600, BangladeshDepartment of Applied Mathematics, University of Rajshahi, Rajshahi 6205, BangladeshIn this present work, we have studied new extension of the (G′/G)-expansion method for finding the solitary wave solutions of the modified Korteweg–de Vries (mKdV) equation. It has been shown that the proposed method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics. The obtained results show that the method is very powerful and convenient mathematical tool for nonlinear evolution equations in science and engineering.http://www.sciencedirect.com/science/article/pii/S221137971500008XExtension of (G′/G)-expansion methodNLEEsmKdV equationSolitary waveTraveling wave |
| spellingShingle | Md. Shafiqul Islam Kamruzzaman Khan M. Ali Akbar An analytical method for finding exact solutions of modified Korteweg–de Vries equation Results in Physics Extension of (G′/G)-expansion method NLEEs mKdV equation Solitary wave Traveling wave |
| title | An analytical method for finding exact solutions of modified Korteweg–de Vries equation |
| title_full | An analytical method for finding exact solutions of modified Korteweg–de Vries equation |
| title_fullStr | An analytical method for finding exact solutions of modified Korteweg–de Vries equation |
| title_full_unstemmed | An analytical method for finding exact solutions of modified Korteweg–de Vries equation |
| title_short | An analytical method for finding exact solutions of modified Korteweg–de Vries equation |
| title_sort | analytical method for finding exact solutions of modified korteweg de vries equation |
| topic | Extension of (G′/G)-expansion method NLEEs mKdV equation Solitary wave Traveling wave |
| url | http://www.sciencedirect.com/science/article/pii/S221137971500008X |
| work_keys_str_mv | AT mdshafiqulislam ananalyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation AT kamruzzamankhan ananalyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation AT maliakbar ananalyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation AT mdshafiqulislam analyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation AT kamruzzamankhan analyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation AT maliakbar analyticalmethodforfindingexactsolutionsofmodifiedkortewegdevriesequation |