Approximate Simulations for the Non-linear Long-Short Wave Interaction System
This research paper studies the semi-analytical and numerical solutions of the non-linear long-short wave interaction system. This represents an optical field that does not change through multiplication due to a sensitive balance being struck between linear and non-linear impacts in an elastic mediu...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2020-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2019.00230/full |
| _version_ | 1818022908504571904 |
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| author | Haiyong Qin Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia Raghda A. M. Attia Dianchen Lu |
| author_facet | Haiyong Qin Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia Raghda A. M. Attia Dianchen Lu |
| author_sort | Haiyong Qin |
| collection | DOAJ |
| description | This research paper studies the semi-analytical and numerical solutions of the non-linear long-short wave interaction system. This represents an optical field that does not change through multiplication due to a sensitive balance being struck between linear and non-linear impacts in an elastic medium, defined as a medium that can adjust its shape as a consequence of deforming stress and return to its original form when the force is eliminated. In this medium, a wave is produced by vibrations that are a consequence of acoustic power, known as a sound wave or acoustic wave. The Adomian decomposition method and the cubic and septic B-spline methods are applied to the suggested system to obtain distinct types of solutions that are used to explain the novel physical properties of this system. These novel features are described by different types of figures that show more of the physical properties of this model. Also, the convergence between the obtained solutions is discussed through tables that show the values of absolute error between them. |
| first_indexed | 2024-12-10T03:35:54Z |
| format | Article |
| id | doaj.art-3980437792b140dd91fc92677f47755b |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-10T03:35:54Z |
| publishDate | 2020-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-3980437792b140dd91fc92677f47755b2022-12-22T02:03:42ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-01-01710.3389/fphy.2019.00230505241Approximate Simulations for the Non-linear Long-Short Wave Interaction SystemHaiyong Qin0Haiyong Qin1Mostafa M. A. Khater2Raghda A. M. Attia3Raghda A. M. Attia4Dianchen Lu5School of Mathematics, Qilu Normal University, Jinan, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, ChinaDepartment of Basic Science, Higher Technological Institute, 10th of Ramadan City, EgyptDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, ChinaThis research paper studies the semi-analytical and numerical solutions of the non-linear long-short wave interaction system. This represents an optical field that does not change through multiplication due to a sensitive balance being struck between linear and non-linear impacts in an elastic medium, defined as a medium that can adjust its shape as a consequence of deforming stress and return to its original form when the force is eliminated. In this medium, a wave is produced by vibrations that are a consequence of acoustic power, known as a sound wave or acoustic wave. The Adomian decomposition method and the cubic and septic B-spline methods are applied to the suggested system to obtain distinct types of solutions that are used to explain the novel physical properties of this system. These novel features are described by different types of figures that show more of the physical properties of this model. Also, the convergence between the obtained solutions is discussed through tables that show the values of absolute error between them.https://www.frontiersin.org/article/10.3389/fphy.2019.00230/fullnonlinear long-short wave interaction systemadomian decomposition methodcubic B-spline methodseptic B-spline methodsemi-analytical and numerical solutions |
| spellingShingle | Haiyong Qin Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia Raghda A. M. Attia Dianchen Lu Approximate Simulations for the Non-linear Long-Short Wave Interaction System Frontiers in Physics nonlinear long-short wave interaction system adomian decomposition method cubic B-spline method septic B-spline method semi-analytical and numerical solutions |
| title | Approximate Simulations for the Non-linear Long-Short Wave Interaction System |
| title_full | Approximate Simulations for the Non-linear Long-Short Wave Interaction System |
| title_fullStr | Approximate Simulations for the Non-linear Long-Short Wave Interaction System |
| title_full_unstemmed | Approximate Simulations for the Non-linear Long-Short Wave Interaction System |
| title_short | Approximate Simulations for the Non-linear Long-Short Wave Interaction System |
| title_sort | approximate simulations for the non linear long short wave interaction system |
| topic | nonlinear long-short wave interaction system adomian decomposition method cubic B-spline method septic B-spline method semi-analytical and numerical solutions |
| url | https://www.frontiersin.org/article/10.3389/fphy.2019.00230/full |
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