The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
Here, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearit...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/2429334 |
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| author | Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le |
| author_facet | Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le |
| author_sort | Guiping Shen |
| collection | DOAJ |
| description | Here, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. Plentiful exact traveling wave solutions containing unknown values are constructed in the sense of trigonometric, hyperbolic, exponential, and rational functions. Different arbitrary constants acquired in the solutions help us to discuss the dynamical behavior of solutions. Moreover, the graphical representation of solutions is shown vigorously in order to visualize the behavior of the solutions acquired for the mentioned equation. We obtain some periodic, dark soliton, and singular-kink wave solutions which have considerably fortified the existing literature on the time-fractional coupled Jaulent–Miodek equation. Via three-dimensional plot, density plot, and two-dimensional plot by utilizing Maple software, the physical properties of these waves are explained very well. |
| format | Article |
| id | doaj-art-17baa6399173451295e1a36b43126542 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-17baa6399173451295e1a36b431265422025-02-03T06:46:09ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/2429334The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek EquationGuiping Shen0Jalil Manafian1Syed Maqsood Zia2Dinh Tran Ngoc Huy3Trung-Hieu Le4College of ScienceDepartment of Applied MathematicsDepartment of StaticsBanking University HCMCDai Nam UniversityHere, two applicable methods, namely, the tanθ/2-expansion technique and modified exp−θξ-expansion technique are being applied on the time-fractional coupled Jaulent–Miodek equation. Materials such as photovoltaic-photorefractive, polymer, and organic contain spatial solitons and optical nonlinearities, which can be identified by seeking from energy-dependent Schrödinger potential. Plentiful exact traveling wave solutions containing unknown values are constructed in the sense of trigonometric, hyperbolic, exponential, and rational functions. Different arbitrary constants acquired in the solutions help us to discuss the dynamical behavior of solutions. Moreover, the graphical representation of solutions is shown vigorously in order to visualize the behavior of the solutions acquired for the mentioned equation. We obtain some periodic, dark soliton, and singular-kink wave solutions which have considerably fortified the existing literature on the time-fractional coupled Jaulent–Miodek equation. Via three-dimensional plot, density plot, and two-dimensional plot by utilizing Maple software, the physical properties of these waves are explained very well.http://dx.doi.org/10.1155/2021/2429334 |
| spellingShingle | Guiping Shen Jalil Manafian Syed Maqsood Zia Dinh Tran Ngoc Huy Trung-Hieu Le The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation Discrete Dynamics in Nature and Society |
| title | The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation |
| title_full | The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation |
| title_fullStr | The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation |
| title_full_unstemmed | The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation |
| title_short | The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation |
| title_sort | new solitary solutions to the time fractional coupled jaulent miodek equation |
| url | http://dx.doi.org/10.1155/2021/2429334 |
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