Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation
The accuracy of novel lump solutions of the potential form of the three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation is investigated. These solutions are obtained by employing the extended simplest equation (ESE) and modified Kudryashov (MKud) schemes to explore its lump and brea...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/12/2081 |
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| author | Mostafa M. A. Khater Dumitru Baleanu Mohamed S. Mohamed |
| author_facet | Mostafa M. A. Khater Dumitru Baleanu Mohamed S. Mohamed |
| author_sort | Mostafa M. A. Khater |
| collection | DOAJ |
| description | The accuracy of novel lump solutions of the potential form of the three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation is investigated. These solutions are obtained by employing the extended simplest equation (ESE) and modified Kudryashov (MKud) schemes to explore its lump and breather wave solutions that characterizes the dynamics of solitons and nonlinear waves in weakly dispersive media, plasma physics, and fluid dynamics. The accuracy of the obtained analytical solutions is investigated through the perspective of numerical and semi-analytical strategies (septic B-spline (SBS) and variational iteration (VI) techniques). Additionally, matching the analytical and numerical solutions is represented along with some distinct types of sketches. The superiority of the MKud is showed as the fourth research paper in our series that has been beginning by Mostafa M. A. Khater and Carlo Cattani with the title “Accuracy of computational schemes”. The functioning of employed schemes appears their effectual and ability to apply to different nonlinear evolution equations. |
| first_indexed | 2024-03-10T14:04:17Z |
| format | Article |
| id | doaj.art-cad6173953fd46c484867bf6e5934729 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T14:04:17Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cad6173953fd46c484867bf6e59347292023-11-21T00:50:55ZengMDPI AGSymmetry2073-89942020-12-011212208110.3390/sym12122081Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama EquationMostafa M. A. Khater0Dumitru Baleanu1Mohamed S. Mohamed2Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaInstitute of Space Sciences, 77125 Magurele-Bucharest, RomaniaDepartment of Mathematics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThe accuracy of novel lump solutions of the potential form of the three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation is investigated. These solutions are obtained by employing the extended simplest equation (ESE) and modified Kudryashov (MKud) schemes to explore its lump and breather wave solutions that characterizes the dynamics of solitons and nonlinear waves in weakly dispersive media, plasma physics, and fluid dynamics. The accuracy of the obtained analytical solutions is investigated through the perspective of numerical and semi-analytical strategies (septic B-spline (SBS) and variational iteration (VI) techniques). Additionally, matching the analytical and numerical solutions is represented along with some distinct types of sketches. The superiority of the MKud is showed as the fourth research paper in our series that has been beginning by Mostafa M. A. Khater and Carlo Cattani with the title “Accuracy of computational schemes”. The functioning of employed schemes appears their effectual and ability to apply to different nonlinear evolution equations.https://www.mdpi.com/2073-8994/12/12/2081three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equationAnalyticalsemi-analyticalnumerical solutions |
| spellingShingle | Mostafa M. A. Khater Dumitru Baleanu Mohamed S. Mohamed Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation Symmetry three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation Analytical semi-analytical numerical solutions |
| title | Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation |
| title_full | Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation |
| title_fullStr | Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation |
| title_full_unstemmed | Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation |
| title_short | Multiple Lump Novel and Accurate Analytical and Numerical Solutions of the Three-Dimensional Potential Yu–Toda–Sasa–Fukuyama Equation |
| title_sort | multiple lump novel and accurate analytical and numerical solutions of the three dimensional potential yu toda sasa fukuyama equation |
| topic | three–dimensional potential Yu–Toda–Sasa–Fukuyama (3-Dp-YTSF) equation Analytical semi-analytical numerical solutions |
| url | https://www.mdpi.com/2073-8994/12/12/2081 |
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