Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model
In this paper, we introduce the Noether approach for studying the Peyrard–Bishop (PB) DNA dynamic model equation. The Jacobi elliptic function expansion (JEFE) method is used to analyze this model. The obtained soliton solutions are hyperbolic, trigonometric, and rational functions. The dynamics of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-07-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723003790 |
| _version_ | 1797802222904410112 |
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| author | A. Hussain M. Usman F.D. Zaman S.M. Eldin |
| author_facet | A. Hussain M. Usman F.D. Zaman S.M. Eldin |
| author_sort | A. Hussain |
| collection | DOAJ |
| description | In this paper, we introduce the Noether approach for studying the Peyrard–Bishop (PB) DNA dynamic model equation. The Jacobi elliptic function expansion (JEFE) method is used to analyze this model. The obtained soliton solutions are hyperbolic, trigonometric, and rational functions. The dynamics of the obtained solutions conform to the properties of shock waves, periodic waves, solitary waves, double periodic waves, and rational solutions. A comparison between the results obtained by the JEFE method and the results existing in the literature shows that our results are more general, and novel, and have never been reported earlier. The wave profiles are investigated by Wolfram Mathematica simulations for the physical wave behavior. |
| first_indexed | 2024-03-13T05:02:51Z |
| format | Article |
| id | doaj.art-2058c925280547d38905d5d6fc553ce5 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T05:02:51Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-2058c925280547d38905d5d6fc553ce52023-06-17T05:18:14ZengElsevierResults in Physics2211-37972023-07-0150106586Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop modelA. Hussain0M. Usman1F.D. Zaman2S.M. Eldin3Abdus Salam School of Mathematical Sciences, Government College University, 68-B New Muslim Town, 54600 Lahore, Pakistan; Corresponding author.College of Electrical and Mechanical Engineering (CEME), National University of Sciences and Technology (NUST), H-12 Islamabad 44000, PakistanAbdus Salam School of Mathematical Sciences, Government College University, 68-B New Muslim Town, 54600 Lahore, PakistanCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptIn this paper, we introduce the Noether approach for studying the Peyrard–Bishop (PB) DNA dynamic model equation. The Jacobi elliptic function expansion (JEFE) method is used to analyze this model. The obtained soliton solutions are hyperbolic, trigonometric, and rational functions. The dynamics of the obtained solutions conform to the properties of shock waves, periodic waves, solitary waves, double periodic waves, and rational solutions. A comparison between the results obtained by the JEFE method and the results existing in the literature shows that our results are more general, and novel, and have never been reported earlier. The wave profiles are investigated by Wolfram Mathematica simulations for the physical wave behavior.http://www.sciencedirect.com/science/article/pii/S2211379723003790Noether approachPB modelJEFE methodShock wavesRational functionsSolitary waves |
| spellingShingle | A. Hussain M. Usman F.D. Zaman S.M. Eldin Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model Results in Physics Noether approach PB model JEFE method Shock waves Rational functions Solitary waves |
| title | Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model |
| title_full | Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model |
| title_fullStr | Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model |
| title_full_unstemmed | Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model |
| title_short | Optical solitons with DNA dynamics arising in oscillator-chain of Peyrard–Bishop model |
| title_sort | optical solitons with dna dynamics arising in oscillator chain of peyrard bishop model |
| topic | Noether approach PB model JEFE method Shock waves Rational functions Solitary waves |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723003790 |
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