Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform
This paper investigates the analytical, semianalytical, and numerical solutions of the 2+1–dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain d...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/2394030 |
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| author | Raghda A. M. Attia S. H. Alfalqi J. F. Alzaidi Mostafa M. A. Khater Dianchen Lu |
| author_facet | Raghda A. M. Attia S. H. Alfalqi J. F. Alzaidi Mostafa M. A. Khater Dianchen Lu |
| author_sort | Raghda A. M. Attia |
| collection | DOAJ |
| description | This paper investigates the analytical, semianalytical, and numerical solutions of the 2+1–dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values. |
| format | Article |
| id | doaj-art-3f5d611eaef041659eb68a27fdadb961 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3f5d611eaef041659eb68a27fdadb9612025-08-20T03:35:54ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/23940302394030Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura TransformRaghda A. M. Attia0S. H. Alfalqi1J. F. Alzaidi2Mostafa M. A. Khater3Dianchen Lu4Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Mathematics, Faculty of Science and Arts in Mahayil Asir, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Arts in Mahayil Asir, King Khalid University, Abha, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaThis paper investigates the analytical, semianalytical, and numerical solutions of the 2+1–dimensional integrable Schwarz–Korteweg–de Vries (SKdV) equation. The extended simplest equation method, the sech-tanh method, the Adomian decomposition method, and cubic spline scheme are employed to obtain distinct formulas of solitary waves that are employed to calculate the initial and boundary conditions. Consequently, the numerical solutions of this model can be investigated. Moreover, their stability properties are also analyzed. The solutions obtained by means of these techniques are compared to unravel relations between them and their characteristics illustrated under the suitable choice of the parameter values.http://dx.doi.org/10.1155/2020/2394030 |
| spellingShingle | Raghda A. M. Attia S. H. Alfalqi J. F. Alzaidi Mostafa M. A. Khater Dianchen Lu Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform Complexity |
| title | Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform |
| title_full | Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform |
| title_fullStr | Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform |
| title_full_unstemmed | Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform |
| title_short | Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz–Korteweg–de Vries Equation with Miura Transform |
| title_sort | computational and numerical solutions for 2 1 dimensional integrable schwarz korteweg de vries equation with miura transform |
| url | http://dx.doi.org/10.1155/2020/2394030 |
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