Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. We obtained the solutions for 2+1-dimensional nonlinear integro-differential equations in real physical phenomena. T...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1283138 |
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| _version_ | 1832551059931791360 |
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| author | Daba Meshesha Gusu Chala Bulo |
| author_facet | Daba Meshesha Gusu Chala Bulo |
| author_sort | Daba Meshesha Gusu |
| collection | DOAJ |
| description | In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. We obtained the solutions for 2+1-dimensional nonlinear integro-differential equations in real physical phenomena. The method is applied on 2+1-dimensional space time and solved in three different cases: hyperbolic, trigonometric, and rational functions. The obtained solutions for each result were illustrated by graphical plots using Wolfram Mathematica 9.0 software packages. Furthermore, the obtained results are exactly fit with exact solutions which solves the complicity of finding the solution for nonlinear integro-partial differential equations. Finally, the method is powerful and effective to solve partial differential equations of nonlinear integro form. |
| format | Article |
| id | doaj-art-92a4e2b4978e445ab2646b15ecaee11b |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-92a4e2b4978e445ab2646b15ecaee11b2025-02-03T06:05:03ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1283138Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/GDaba Meshesha Gusu0Chala Bulo1Department of MathematicsDepartment of MathematicsIn this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. We obtained the solutions for 2+1-dimensional nonlinear integro-differential equations in real physical phenomena. The method is applied on 2+1-dimensional space time and solved in three different cases: hyperbolic, trigonometric, and rational functions. The obtained solutions for each result were illustrated by graphical plots using Wolfram Mathematica 9.0 software packages. Furthermore, the obtained results are exactly fit with exact solutions which solves the complicity of finding the solution for nonlinear integro-partial differential equations. Finally, the method is powerful and effective to solve partial differential equations of nonlinear integro form.http://dx.doi.org/10.1155/2022/1283138 |
| spellingShingle | Daba Meshesha Gusu Chala Bulo Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G Advances in Mathematical Physics |
| title | Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G |
| title_full | Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G |
| title_fullStr | Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G |
| title_full_unstemmed | Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G |
| title_short | Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G |
| title_sort | solutions of nonlinear integro partial differential equations by the method of g g 1 g |
| url | http://dx.doi.org/10.1155/2022/1283138 |
| work_keys_str_mv | AT dabamesheshagusu solutionsofnonlinearintegropartialdifferentialequationsbythemethodofgg1g AT chalabulo solutionsofnonlinearintegropartialdifferentialequationsbythemethodofgg1g |