Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA
This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. These solutions are sorted into solitary, periodic, kink (antikink), and singular solutions. Moreover, a part of t...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7188118 |
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| _version_ | 1832553452751814656 |
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| author | Taher S. Hassan A.A. Elmandouh Adel A. Attiya Ahmed Y. Khedr |
| author_facet | Taher S. Hassan A.A. Elmandouh Adel A. Attiya Ahmed Y. Khedr |
| author_sort | Taher S. Hassan |
| collection | DOAJ |
| description | This work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. These solutions are sorted into solitary, periodic, kink (antikink), and singular solutions. Moreover, a part of them is illustrated graphically. Based on Hamilton concepts, we study the bifurcation and phase portrait for the Hamilton system corresponding to the model under consideration. |
| format | Article |
| id | doaj-art-325686dc315c472da2c84c17fb934702 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-325686dc315c472da2c84c17fb9347022025-02-03T05:53:51ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7188118Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNATaher S. Hassan0A.A. Elmandouh1Adel A. Attiya2Ahmed Y. Khedr3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Computer ScienceThis work aims to study analytically the nonlinear model for deoxyribonucleic acid (DNA). Based on the complete discrimination and direct method, some new wave solutions are introduced. These solutions are sorted into solitary, periodic, kink (antikink), and singular solutions. Moreover, a part of them is illustrated graphically. Based on Hamilton concepts, we study the bifurcation and phase portrait for the Hamilton system corresponding to the model under consideration.http://dx.doi.org/10.1155/2022/7188118 |
| spellingShingle | Taher S. Hassan A.A. Elmandouh Adel A. Attiya Ahmed Y. Khedr Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA Journal of Mathematics |
| title | Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA |
| title_full | Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA |
| title_fullStr | Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA |
| title_full_unstemmed | Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA |
| title_short | Bifurcation Analysis and Exact Wave Solutions for the Double-Chain Model of DNA |
| title_sort | bifurcation analysis and exact wave solutions for the double chain model of dna |
| url | http://dx.doi.org/10.1155/2022/7188118 |
| work_keys_str_mv | AT tahershassan bifurcationanalysisandexactwavesolutionsforthedoublechainmodelofdna AT aaelmandouh bifurcationanalysisandexactwavesolutionsforthedoublechainmodelofdna AT adelaattiya bifurcationanalysisandexactwavesolutionsforthedoublechainmodelofdna AT ahmedykhedr bifurcationanalysisandexactwavesolutionsforthedoublechainmodelofdna |