The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Go...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/427479 |
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| author | Khaled A. Gepreel Taher A. Nofal Ali A. Al-Thobaiti |
| author_facet | Khaled A. Gepreel Taher A. Nofal Ali A. Al-Thobaiti |
| author_sort | Khaled A. Gepreel |
| collection | DOAJ |
| description | We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrodinger equation. Some new types of the Jacobi elliptic solutions are obtained for some nonlinear differential difference equations in mathematical physics. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations. |
| format | Article |
| id | doaj-art-a2875ae2591743998707c570ba73d92c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a2875ae2591743998707c570ba73d92c2025-02-03T01:23:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/427479427479The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference EquationsKhaled A. Gepreel0Taher A. Nofal1Ali A. Al-Thobaiti2Mathematics Department, Faculty of Science, Zagazig University, Zagazig, EgyptMathematics Department, Faculty of Science, Taif University, Saudi ArabiaMathematics Department, Faculty of Science, Taif University, Saudi ArabiaWe modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable nonlinearity, the discrete nonlinear Klein-Gordon equation, and the quintic discrete nonlinear Schrodinger equation. Some new types of the Jacobi elliptic solutions are obtained for some nonlinear differential difference equations in mathematical physics. The proposed method is more effective and powerful to obtain the exact solutions for nonlinear differential difference equations.http://dx.doi.org/10.1155/2012/427479 |
| spellingShingle | Khaled A. Gepreel Taher A. Nofal Ali A. Al-Thobaiti The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations Journal of Applied Mathematics |
| title | The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations |
| title_full | The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations |
| title_fullStr | The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations |
| title_full_unstemmed | The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations |
| title_short | The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations |
| title_sort | modified rational jacobi elliptic functions method for nonlinear differential difference equations |
| url | http://dx.doi.org/10.1155/2012/427479 |
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