Approximate analytical solution for the forced korteweg-de vries equation
The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter where it is easy to adjust and control the conver...
| Published in: | Journal of Applied Mathematics |
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| Format: | Article |
| Language: | English |
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2013
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893666914&doi=10.1155%2f2013%2f795818&partnerID=40&md5=7227a3f683e25b31cc3812b5f46059fa |
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2-s2.0-84893666914 David V.D.; Nazari M.; Barati V.; Salah F.; Abdul Aziz Z. Approximate analytical solution for the forced korteweg-de vries equation 2013 Journal of Applied Mathematics 2013 10.1155/2013/795818 https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893666914&doi=10.1155%2f2013%2f795818&partnerID=40&md5=7227a3f683e25b31cc3812b5f46059fa The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter where it is easy to adjust and control the convergence region of the series solution. Some examples of forcing terms are employed to analyse the behaviours of the HAM solutions for the different fKdV equations. Finally, this form of HAM solution is compared with the analytical soliton-type solution of fKdV equation as derived by Zhao and Guo. The results is found to be in good agreement with Zhao and Guo. © 2013 Vincent Daniel David et al. 16870042 English Article All Open Access; Gold Open Access |
| author |
David V.D.; Nazari M.; Barati V.; Salah F.; Abdul Aziz Z. |
| spellingShingle |
David V.D.; Nazari M.; Barati V.; Salah F.; Abdul Aziz Z. Approximate analytical solution for the forced korteweg-de vries equation |
| author_facet |
David V.D.; Nazari M.; Barati V.; Salah F.; Abdul Aziz Z. |
| author_sort |
David V.D.; Nazari M.; Barati V.; Salah F.; Abdul Aziz Z. |
| title |
Approximate analytical solution for the forced korteweg-de vries equation |
| title_short |
Approximate analytical solution for the forced korteweg-de vries equation |
| title_full |
Approximate analytical solution for the forced korteweg-de vries equation |
| title_fullStr |
Approximate analytical solution for the forced korteweg-de vries equation |
| title_full_unstemmed |
Approximate analytical solution for the forced korteweg-de vries equation |
| title_sort |
Approximate analytical solution for the forced korteweg-de vries equation |
| publishDate |
2013 |
| container_title |
Journal of Applied Mathematics |
| container_volume |
2013 |
| container_issue |
|
| doi_str_mv |
10.1155/2013/795818 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893666914&doi=10.1155%2f2013%2f795818&partnerID=40&md5=7227a3f683e25b31cc3812b5f46059fa |
| description |
The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter where it is easy to adjust and control the convergence region of the series solution. Some examples of forcing terms are employed to analyse the behaviours of the HAM solutions for the different fKdV equations. Finally, this form of HAM solution is compared with the analytical soliton-type solution of fKdV equation as derived by Zhao and Guo. The results is found to be in good agreement with Zhao and Guo. © 2013 Vincent Daniel David et al. |
| publisher |
|
| issn |
16870042 |
| language |
English |
| format |
Article |
| accesstype |
All Open Access; Gold Open Access |
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1812871802057129984 |