Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model
The Painlevé analysis has attracted considerable attention in the age of mathematical and physical sciences as a crucial method for analyzing FNLPDEs. This methodology is an effective way to assess if a given differential equation ensures the Painlevé property. The concept of the Painlevé property a...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Franklin Open |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186325000416 |
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| author | Rashida Hussain Tayyiaba Rasool Asghar Ali Sara Javed |
| author_facet | Rashida Hussain Tayyiaba Rasool Asghar Ali Sara Javed |
| author_sort | Rashida Hussain |
| collection | DOAJ |
| description | The Painlevé analysis has attracted considerable attention in the age of mathematical and physical sciences as a crucial method for analyzing FNLPDEs. This methodology is an effective way to assess if a given differential equation ensures the Painlevé property. The concept of the Painlevé property and its connection to integrability has profoundly understood several dynamical systems, including nonlinear processes and classical and quantum mechanics. This work aims to investigate the fundamental ideas behind the Painlevé test, its applications in several scientific fields, and its role in bifurcation and chaos theory in the study of dynamical system behavior. Understanding difficult mathematical and physical concepts, highlighting its function as a cornerstone in modern scientific research. |
| format | Article |
| id | doaj-art-0cddb87d509941eca32d408bba7ac8ef |
| institution | Kabale University |
| issn | 2773-1863 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj-art-0cddb87d509941eca32d408bba7ac8ef2025-08-20T03:30:32ZengElsevierFranklin Open2773-18632025-06-011110025110.1016/j.fraope.2025.100251Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave modelRashida Hussain0Tayyiaba Rasool1Asghar Ali2Sara Javed3Corresponding author.; Department of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 (AJK), PakistanDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 (AJK), PakistanDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 (AJK), PakistanDepartment of Mathematics, Mirpur University of Science and Technology, Mirpur 10250 (AJK), PakistanThe Painlevé analysis has attracted considerable attention in the age of mathematical and physical sciences as a crucial method for analyzing FNLPDEs. This methodology is an effective way to assess if a given differential equation ensures the Painlevé property. The concept of the Painlevé property and its connection to integrability has profoundly understood several dynamical systems, including nonlinear processes and classical and quantum mechanics. This work aims to investigate the fundamental ideas behind the Painlevé test, its applications in several scientific fields, and its role in bifurcation and chaos theory in the study of dynamical system behavior. Understanding difficult mathematical and physical concepts, highlighting its function as a cornerstone in modern scientific research.http://www.sciencedirect.com/science/article/pii/S2773186325000416Paraxial wave equationPainlevé testBifurcation analysisChaotic structure |
| spellingShingle | Rashida Hussain Tayyiaba Rasool Asghar Ali Sara Javed Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model Franklin Open Paraxial wave equation Painlevé test Bifurcation analysis Chaotic structure |
| title | Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model |
| title_full | Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model |
| title_fullStr | Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model |
| title_full_unstemmed | Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model |
| title_short | Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model |
| title_sort | retrieval of chaotic structure along with p test to truncated m fractional paraxial wave model |
| topic | Paraxial wave equation Painlevé test Bifurcation analysis Chaotic structure |
| url | http://www.sciencedirect.com/science/article/pii/S2773186325000416 |
| work_keys_str_mv | AT rashidahussain retrievalofchaoticstructurealongwithptesttotruncatedmfractionalparaxialwavemodel AT tayyiabarasool retrievalofchaoticstructurealongwithptesttotruncatedmfractionalparaxialwavemodel AT asgharali retrievalofchaoticstructurealongwithptesttotruncatedmfractionalparaxialwavemodel AT sarajaved retrievalofchaoticstructurealongwithptesttotruncatedmfractionalparaxialwavemodel |