Simple equation method for nonlinear partial differential equations and its applications
In this article, we focus on the exact solution of the some nonlinear partial differential equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional breaking soliton equation and the modified generalized Vakhnenko equation by using the simple equation method. In the s...
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SpringerOpen
2016-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X1500036X |
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doaj-264fe96ed5994e76af9d4d4180de71e02020-11-25T01:44:31ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-04-0124220420910.1016/j.joems.2015.05.006Simple equation method for nonlinear partial differential equations and its applicationsTaher A. NofalIn this article, we focus on the exact solution of the some nonlinear partial differential equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional breaking soliton equation and the modified generalized Vakhnenko equation by using the simple equation method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems.http://www.sciencedirect.com/science/article/pii/S1110256X1500036XSimple equation methodExact solutionsKodomtsev–Petviashvili equationBernoulli equationRiccati equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Taher A. Nofal |
| spellingShingle |
Taher A. Nofal Simple equation method for nonlinear partial differential equations and its applications Journal of the Egyptian Mathematical Society Simple equation method Exact solutions Kodomtsev–Petviashvili equation Bernoulli equation Riccati equation |
| author_facet |
Taher A. Nofal |
| author_sort |
Taher A. Nofal |
| title |
Simple equation method for nonlinear partial differential equations and its applications |
| title_short |
Simple equation method for nonlinear partial differential equations and its applications |
| title_full |
Simple equation method for nonlinear partial differential equations and its applications |
| title_fullStr |
Simple equation method for nonlinear partial differential equations and its applications |
| title_full_unstemmed |
Simple equation method for nonlinear partial differential equations and its applications |
| title_sort |
simple equation method for nonlinear partial differential equations and its applications |
| publisher |
SpringerOpen |
| series |
Journal of the Egyptian Mathematical Society |
| issn |
1110-256X |
| publishDate |
2016-04-01 |
| description |
In this article, we focus on the exact solution of the some nonlinear partial differential equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional breaking soliton equation and the modified generalized Vakhnenko equation by using the simple equation method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. |
| topic |
Simple equation method Exact solutions Kodomtsev–Petviashvili equation Bernoulli equation Riccati equation |
| url |
http://www.sciencedirect.com/science/article/pii/S1110256X1500036X |
| work_keys_str_mv |
AT taheranofal simpleequationmethodfornonlinearpartialdifferentialequationsanditsapplications |
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1725028203363303424 |