The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order n...
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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/10.1155/2013/349173 |
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| _version_ | 1832562050011758592 |
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| author | Shoukry Ibrahim Atia El-Ganaini |
| author_facet | Shoukry Ibrahim Atia El-Ganaini |
| author_sort | Shoukry Ibrahim Atia El-Ganaini |
| collection | DOAJ |
| description | The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner. |
| format | Article |
| id | doaj-art-687cc11cfd434a6baa246a9d739e8529 |
| 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-687cc11cfd434a6baa246a9d739e85292025-02-03T01:23:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/349173349173The First Integral Method to the Nonlinear Schrodinger Equations in Higher DimensionsShoukry Ibrahim Atia El-Ganaini0Mathematics Department, Faculty of Science, Damanhour University, Bahira 22514, EgyptThe first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS) equation with a source, and the higher-order nonlinear Schrodinger equation in nonlinear optical fibers. This method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are formally derived in a concise manner.http://dx.doi.org/10.1155/2013/349173 |
| spellingShingle | Shoukry Ibrahim Atia El-Ganaini The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions Abstract and Applied Analysis |
| title | The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions |
| title_full | The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions |
| title_fullStr | The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions |
| title_full_unstemmed | The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions |
| title_short | The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions |
| title_sort | first integral method to the nonlinear schrodinger equations in higher dimensions |
| url | http://dx.doi.org/10.1155/2013/349173 |
| work_keys_str_mv | AT shoukryibrahimatiaelganaini thefirstintegralmethodtothenonlinearschrodingerequationsinhigherdimensions AT shoukryibrahimatiaelganaini firstintegralmethodtothenonlinearschrodingerequationsinhigherdimensions |