Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations
In this article, new travelling wave solutions are constructed for two applications of the seventh order KdV equations, the seventh order Lax-equation and the seventh order Kaup-Kupershmidt equation. Using the modified auxiliary equation of direct algebraic method, we study the considered nonlinear...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-09-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719306643 |
| _version_ | 1811235613430513664 |
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| author | Noufe H. Aljahdaly Aly R. Seadawy Wafaa A. Albarakati |
| author_facet | Noufe H. Aljahdaly Aly R. Seadawy Wafaa A. Albarakati |
| author_sort | Noufe H. Aljahdaly |
| collection | DOAJ |
| description | In this article, new travelling wave solutions are constructed for two applications of the seventh order KdV equations, the seventh order Lax-equation and the seventh order Kaup-Kupershmidt equation. Using the modified auxiliary equation of direct algebraic method, we study the considered nonlinear PDEs analytically. As a result, we found several stable and analytical solutions. 2010 MSC: 00-01, 99-00, Keywords: Seventh order Kaup-Kupershmidt equation, Mathematical methods, Soliton solutions |
| first_indexed | 2024-04-12T11:54:53Z |
| format | Article |
| id | doaj.art-7efe2a04a2a24e5b95e1ef277bc36405 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T11:54:53Z |
| publishDate | 2019-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7efe2a04a2a24e5b95e1ef277bc364052022-12-22T03:34:02ZengElsevierResults in Physics2211-37972019-09-0114Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equationsNoufe H. Aljahdaly0Aly R. Seadawy1Wafaa A. Albarakati2Department of Mathematics, Faculty of Science and Arts – Rabigh Campus, King Abdulaziz University, Jeddah, Saudi Arabia; Corresponding authors.Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding authors.Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this article, new travelling wave solutions are constructed for two applications of the seventh order KdV equations, the seventh order Lax-equation and the seventh order Kaup-Kupershmidt equation. Using the modified auxiliary equation of direct algebraic method, we study the considered nonlinear PDEs analytically. As a result, we found several stable and analytical solutions. 2010 MSC: 00-01, 99-00, Keywords: Seventh order Kaup-Kupershmidt equation, Mathematical methods, Soliton solutionshttp://www.sciencedirect.com/science/article/pii/S2211379719306643 |
| spellingShingle | Noufe H. Aljahdaly Aly R. Seadawy Wafaa A. Albarakati Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations Results in Physics |
| title | Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations |
| title_full | Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations |
| title_fullStr | Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations |
| title_full_unstemmed | Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations |
| title_short | Applications of dispersive analytical wave solutions of nonlinear seventh order Lax and Kaup-Kupershmidt dynamical wave equations |
| title_sort | applications of dispersive analytical wave solutions of nonlinear seventh order lax and kaup kupershmidt dynamical wave equations |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719306643 |
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