Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations
In this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics. Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, th...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824015072 |
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| author | Jie Luo Jiangtao Guo Yan Shao Guangxu Zhao Min Jiao |
| author_facet | Jie Luo Jiangtao Guo Yan Shao Guangxu Zhao Min Jiao |
| author_sort | Jie Luo |
| collection | DOAJ |
| description | In this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics. Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. Finally, two-dimensional planar dynamical systems and its disturbance systems are considered by using Mathematical software. Some meaningful phase diagrams have been drawn by mathematical software to explain the dynamic behavior of two-dimensional dynamics and its perturbed systems. |
| format | Article |
| id | doaj-art-c25f0d739e584055819ca849dc2760bd |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-c25f0d739e584055819ca849dc2760bd2025-02-07T04:47:10ZengElsevierAlexandria Engineering Journal1110-01682025-02-01113409413Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equationsJie Luo0Jiangtao Guo1Yan Shao2Guangxu Zhao3Min Jiao4School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu, 610106, PR China; Corresponding author.China Coal Technology & Engineering Group Chongqing Research Institute Co., Ltd, Chongqing 401332, PR ChinaChina Coal Technology & Engineering Group Chongqing Research Institute Co., Ltd, Chongqing 401332, PR ChinaChina Coal Technology & Engineering Group Chongqing Research Institute Co., Ltd, Chongqing 401332, PR ChinaChengdu Keruite Electric Automation Co., Ltd, Chengdu 610091, PR ChinaIn this paper, our main purpose is to study dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations in quantum mechanics. Firstly, the stochastic Riemann wave equations in quantum mechanics is simplified into nonlinear ordinary differential equation. Secondly, the third-order complete discriminant system is applied to the nonlinear ordinary differential equation, and some traveling wave solutions of stochastic Riemann wave equations are obtained. Finally, two-dimensional planar dynamical systems and its disturbance systems are considered by using Mathematical software. Some meaningful phase diagrams have been drawn by mathematical software to explain the dynamic behavior of two-dimensional dynamics and its perturbed systems.http://www.sciencedirect.com/science/article/pii/S1110016824015072Partial differential equationBifurcationPhase portraitComplete discriminant system method |
| spellingShingle | Jie Luo Jiangtao Guo Yan Shao Guangxu Zhao Min Jiao Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations Alexandria Engineering Journal Partial differential equation Bifurcation Phase portrait Complete discriminant system method |
| title | Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations |
| title_full | Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations |
| title_fullStr | Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations |
| title_full_unstemmed | Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations |
| title_short | Dynamical behavior analysis and traveling wave solution of stochastic Riemann wave equations |
| title_sort | dynamical behavior analysis and traveling wave solution of stochastic riemann wave equations |
| topic | Partial differential equation Bifurcation Phase portrait Complete discriminant system method |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824015072 |
| work_keys_str_mv | AT jieluo dynamicalbehavioranalysisandtravelingwavesolutionofstochasticriemannwaveequations AT jiangtaoguo dynamicalbehavioranalysisandtravelingwavesolutionofstochasticriemannwaveequations AT yanshao dynamicalbehavioranalysisandtravelingwavesolutionofstochasticriemannwaveequations AT guangxuzhao dynamicalbehavioranalysisandtravelingwavesolutionofstochasticriemannwaveequations AT minjiao dynamicalbehavioranalysisandtravelingwavesolutionofstochasticriemannwaveequations |