Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System
This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/9230723 |
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| _version_ | 1832545612878315520 |
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| author | Tianyong Han Jiajin Wen Zhao Li |
| author_facet | Tianyong Han Jiajin Wen Zhao Li |
| author_sort | Tianyong Han |
| collection | DOAJ |
| description | This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. On the other hand, we use the polynomial complete discriminant method to obtain the exact traveling wave solution of the variable-coefficient Davey–Stewartson system. |
| format | Article |
| id | doaj-art-f140c44b7fbf4e739c28a79a8d312ffb |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f140c44b7fbf4e739c28a79a8d312ffb2025-02-03T07:25:27ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/9230723Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson SystemTianyong Han0Jiajin Wen1Zhao Li2College of Computer ScienceCollege of Computer ScienceCollege of Computer ScienceThis paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey–Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey–Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey–Stewartson system. On the other hand, we use the polynomial complete discriminant method to obtain the exact traveling wave solution of the variable-coefficient Davey–Stewartson system.http://dx.doi.org/10.1155/2022/9230723 |
| spellingShingle | Tianyong Han Jiajin Wen Zhao Li Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System Discrete Dynamics in Nature and Society |
| title | Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System |
| title_full | Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System |
| title_fullStr | Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System |
| title_full_unstemmed | Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System |
| title_short | Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey–Stewartson System |
| title_sort | bifurcation analysis and single traveling wave solutions of the variable coefficient davey stewartson system |
| url | http://dx.doi.org/10.1155/2022/9230723 |
| work_keys_str_mv | AT tianyonghan bifurcationanalysisandsingletravelingwavesolutionsofthevariablecoefficientdaveystewartsonsystem AT jiajinwen bifurcationanalysisandsingletravelingwavesolutionsofthevariablecoefficientdaveystewartsonsystem AT zhaoli bifurcationanalysisandsingletravelingwavesolutionsofthevariablecoefficientdaveystewartsonsystem |