Three Different Methods for New Soliton Solutions of the Generalized NLS Equation
Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to obtain the soliton solutions. The effectiveness...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2017/5137946 |
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| _version_ | 1849399798609739776 |
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| author | Anwar Ja’afar Mohamad Jawad |
| author_facet | Anwar Ja’afar Mohamad Jawad |
| author_sort | Anwar Ja’afar Mohamad Jawad |
| collection | DOAJ |
| description | Three different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to obtain the soliton solutions. The effectiveness of these methods is demonstrated by applications to the RKL model, the generalized derivative NLS equation. The solitary wave solutions and trigonometric function solutions are obtained. The obtained solutions are very useful in the nonlinear pulse propagation through optical fibers. |
| format | Article |
| id | doaj-art-9ccb497ce31442e8ba4b3af9ab0dfe3a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9ccb497ce31442e8ba4b3af9ab0dfe3a2025-08-20T03:38:15ZengWileyAbstract and Applied Analysis1085-33751687-04092017-01-01201710.1155/2017/51379465137946Three Different Methods for New Soliton Solutions of the Generalized NLS EquationAnwar Ja’afar Mohamad Jawad0Al-Rafidain University College, Baghdad 00964, IraqThree different methods are applied to construct new types of solutions of nonlinear evolution equations. First, the Csch method is used to carry out the solutions; then the Extended Tanh-Coth method and the modified simple equation method are used to obtain the soliton solutions. The effectiveness of these methods is demonstrated by applications to the RKL model, the generalized derivative NLS equation. The solitary wave solutions and trigonometric function solutions are obtained. The obtained solutions are very useful in the nonlinear pulse propagation through optical fibers.http://dx.doi.org/10.1155/2017/5137946 |
| spellingShingle | Anwar Ja’afar Mohamad Jawad Three Different Methods for New Soliton Solutions of the Generalized NLS Equation Abstract and Applied Analysis |
| title | Three Different Methods for New Soliton Solutions of the Generalized NLS Equation |
| title_full | Three Different Methods for New Soliton Solutions of the Generalized NLS Equation |
| title_fullStr | Three Different Methods for New Soliton Solutions of the Generalized NLS Equation |
| title_full_unstemmed | Three Different Methods for New Soliton Solutions of the Generalized NLS Equation |
| title_short | Three Different Methods for New Soliton Solutions of the Generalized NLS Equation |
| title_sort | three different methods for new soliton solutions of the generalized nls equation |
| url | http://dx.doi.org/10.1155/2017/5137946 |
| work_keys_str_mv | AT anwarjaafarmohamadjawad threedifferentmethodsfornewsolitonsolutionsofthegeneralizednlsequation |