F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obt...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/534063 |
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| author | Ali Filiz Mehmet Ekici Abdullah Sonmezoglu |
| author_facet | Ali Filiz Mehmet Ekici Abdullah Sonmezoglu |
| author_sort | Ali Filiz |
| collection | DOAJ |
| description | F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obtained including the Weierstrass-elliptic function solutions. When the modulus m of Jacobi-elliptic function approaches to 1 and 0, soliton-like solutions and trigonometric-function solutions are also obtained, respectively. The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics. |
| format | Article |
| id | doaj-art-fbf5d5bf76a2450c9280bb02f6ef63b1 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-fbf5d5bf76a2450c9280bb02f6ef63b12025-02-03T06:07:19ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/534063534063F-Expansion Method and New Exact Solutions of the Schrödinger-KdV EquationAli Filiz0Mehmet Ekici1Abdullah Sonmezoglu2Department of Mathematics, Faculty of Science and Arts, Adnan Menderes University, 09010 Aydin, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, TurkeyF-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number of Jacobi-elliptic function solutions are obtained including the Weierstrass-elliptic function solutions. When the modulus m of Jacobi-elliptic function approaches to 1 and 0, soliton-like solutions and trigonometric-function solutions are also obtained, respectively. The proposed method is a straightforward, short, promising, and powerful method for the nonlinear evolution equations in mathematical physics.http://dx.doi.org/10.1155/2014/534063 |
| spellingShingle | Ali Filiz Mehmet Ekici Abdullah Sonmezoglu F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation The Scientific World Journal |
| title | F-Expansion Method and New Exact Solutions of
the Schrödinger-KdV Equation |
| title_full | F-Expansion Method and New Exact Solutions of
the Schrödinger-KdV Equation |
| title_fullStr | F-Expansion Method and New Exact Solutions of
the Schrödinger-KdV Equation |
| title_full_unstemmed | F-Expansion Method and New Exact Solutions of
the Schrödinger-KdV Equation |
| title_short | F-Expansion Method and New Exact Solutions of
the Schrödinger-KdV Equation |
| title_sort | f expansion method and new exact solutions of the schrodinger kdv equation |
| url | http://dx.doi.org/10.1155/2014/534063 |
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