Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain
In this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent–Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equati...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-03-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | http://www.mdpi.com/2297-8747/23/1/15 |
| _version_ | 1819131805202120704 |
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| author | Rahma Sadat Magda Kassem |
| author_facet | Rahma Sadat Magda Kassem |
| author_sort | Rahma Sadat |
| collection | DOAJ |
| description | In this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent–Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equations (ODEs). Some of these ODEs had no quadrature. We here derive several new solutions for these non-solvable ODEs. |
| first_indexed | 2024-12-22T09:21:20Z |
| format | Article |
| id | doaj.art-3f3bb861b4c44a0e843cf280ac388e81 |
| institution | Directory Open Access Journal |
| issn | 2297-8747 |
| language | English |
| last_indexed | 2024-12-22T09:21:20Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-3f3bb861b4c44a0e843cf280ac388e812022-12-21T18:31:10ZengMDPI AGMathematical and Computational Applications2297-87472018-03-012311510.3390/mca23010015mca23010015Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded DomainRahma Sadat0Magda Kassem1Department of Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, EgyptDepartment of Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, EgyptIn this work, we prove that the integrating factors can be used as a reduction method. Analytical solutions of the Jaulent–Miodek (JM) equation are obtained using integrating factors as an extension of a recent work where, through hidden symmetries, the JM was reduced to ordinary differential equations (ODEs). Some of these ODEs had no quadrature. We here derive several new solutions for these non-solvable ODEs.http://www.mdpi.com/2297-8747/23/1/15hidden symmetryintegrating factorsJaulent–Miodek equationexact solution |
| spellingShingle | Rahma Sadat Magda Kassem Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain Mathematical and Computational Applications hidden symmetry integrating factors Jaulent–Miodek equation exact solution |
| title | Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain |
| title_full | Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain |
| title_fullStr | Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain |
| title_full_unstemmed | Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain |
| title_short | Explicit Solutions for the (2 + 1)-Dimensional Jaulent–Miodek Equation Using the Integrating Factors Method in an Unbounded Domain |
| title_sort | explicit solutions for the 2 1 dimensional jaulent miodek equation using the integrating factors method in an unbounded domain |
| topic | hidden symmetry integrating factors Jaulent–Miodek equation exact solution |
| url | http://www.mdpi.com/2297-8747/23/1/15 |
| work_keys_str_mv | AT rahmasadat explicitsolutionsforthe21dimensionaljaulentmiodekequationusingtheintegratingfactorsmethodinanunboundeddomain AT magdakassem explicitsolutionsforthe21dimensionaljaulentmiodekequationusingtheintegratingfactorsmethodinanunboundeddomain |