New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations
Using the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of (1+1)-dimensional and (2+1)-dimensional Ito equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion meth...
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Hindawi Limited
2012-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/537930 |
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doaj-b61420e8de8d4bf3a941c00b8553f05a2020-11-24T22:32:25ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/537930537930New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito EquationsA. H. Bhrawy0M. Sh. Alhuthali1M. A. Abdelkawy2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, EgyptUsing the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of (1+1)-dimensional and (2+1)-dimensional Ito equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion method is its ease of use to determine shock or solitary type of solutions. In addition, as an illustrative sample, the properties for the extended F-expansion solutions of the Ito equations are shown with some figures.http://dx.doi.org/10.1155/2012/537930 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. H. Bhrawy M. Sh. Alhuthali M. A. Abdelkawy |
| spellingShingle |
A. H. Bhrawy M. Sh. Alhuthali M. A. Abdelkawy New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations Mathematical Problems in Engineering |
| author_facet |
A. H. Bhrawy M. Sh. Alhuthali M. A. Abdelkawy |
| author_sort |
A. H. Bhrawy |
| title |
New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations |
| title_short |
New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations |
| title_full |
New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations |
| title_fullStr |
New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations |
| title_full_unstemmed |
New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Ito Equations |
| title_sort |
new solutions for (1+1)-dimensional and (2+1)-dimensional ito equations |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2012-01-01 |
| description |
Using the extended F-expansion method based on computerized symbolic computation technique, we find several new solutions of (1+1)-dimensional and (2+1)-dimensional Ito equations. These solutions contain hyperbolic and triangular solutions. It is shown that the power of the extended F-expansion method is its ease of use to determine shock or solitary type of solutions. In addition, as an illustrative sample, the properties for the extended F-expansion solutions of the Ito equations are shown with some figures. |
| url |
http://dx.doi.org/10.1155/2012/537930 |
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AT ahbhrawy newsolutionsfor11dimensionaland21dimensionalitoequations AT mshalhuthali newsolutionsfor11dimensionaland21dimensionalitoequations AT maabdelkawy newsolutionsfor11dimensionaland21dimensionalitoequations |
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