Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations
The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the gen...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/839485 |
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| author | A. R. Seadawy W. Amer A. Sayed |
| author_facet | A. R. Seadawy W. Amer A. Sayed |
| author_sort | A. R. Seadawy |
| collection | DOAJ |
| description | The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the methods can be applied to a wide class of nonlinear evolution equations. All solutions are exact and stable and have applications in physics. |
| format | Article |
| id | doaj-art-437ef820e6cc45d195611e6e82f2c49a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-437ef820e6cc45d195611e6e82f2c49a2025-02-03T06:07:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/839485839485Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV EquationsA. R. Seadawy0W. Amer1A. Sayed2Mathematics Department, Faculty of Science, Taibah University, Al-Ula 41921-259, Saudi ArabiaMathematics Department, Faculty of Science, Taibah University, Al-Ula 41921-259, Saudi ArabiaMathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, EgyptThe Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the methods can be applied to a wide class of nonlinear evolution equations. All solutions are exact and stable and have applications in physics.http://dx.doi.org/10.1155/2014/839485 |
| spellingShingle | A. R. Seadawy W. Amer A. Sayed Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations Journal of Applied Mathematics |
| title | Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations |
| title_full | Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations |
| title_fullStr | Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations |
| title_full_unstemmed | Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations |
| title_short | Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations |
| title_sort | stability analysis for travelling wave solutions of the olver and fifth order kdv equations |
| url | http://dx.doi.org/10.1155/2014/839485 |
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