Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method
A new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed. This method is applied to the space-time fractional coupled Konopelchenko-Dubrovsky equations and Nizhnik-Novikov-Veselov equations. As a result, many exact solutions are obtained i...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/839613 |
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| _version_ | 1832565099479433216 |
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| author | Yanqin Liu Limei Yan |
| author_facet | Yanqin Liu Limei Yan |
| author_sort | Yanqin Liu |
| collection | DOAJ |
| description | A new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed. This method is applied to the space-time fractional coupled Konopelchenko-Dubrovsky equations and Nizhnik-Novikov-Veselov equations. As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations. |
| format | Article |
| id | doaj-art-53f97d1dd8414393b8fdd62991180a3b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-53f97d1dd8414393b8fdd62991180a3b2025-02-03T01:09:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/839613839613Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation MethodYanqin Liu0Limei Yan1School of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaSchool of Mathematical Sciences, Dezhou University, Dezhou 253023, ChinaA new generalized fractional subequation method based on the relationship of fractional coupled equations is proposed. This method is applied to the space-time fractional coupled Konopelchenko-Dubrovsky equations and Nizhnik-Novikov-Veselov equations. As a result, many exact solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.http://dx.doi.org/10.1155/2013/839613 |
| spellingShingle | Yanqin Liu Limei Yan Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method Abstract and Applied Analysis |
| title | Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method |
| title_full | Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method |
| title_fullStr | Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method |
| title_full_unstemmed | Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method |
| title_short | Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method |
| title_sort | solutions of fractional konopelchenko dubrovsky and nizhnik novikov veselov equations using a generalized fractional subequation method |
| url | http://dx.doi.org/10.1155/2013/839613 |
| work_keys_str_mv | AT yanqinliu solutionsoffractionalkonopelchenkodubrovskyandnizhniknovikovveselovequationsusingageneralizedfractionalsubequationmethod AT limeiyan solutionsoffractionalkonopelchenkodubrovskyandnizhniknovikovveselovequationsusingageneralizedfractionalsubequationmethod |