New diverse variety for the exact solutions to Keller-Segel-Fisher system
In our current paper, we will extract new unexpected diverse variety of the exact solutions to the Keller-Segel -Fisher system (KSFS) which is a famous mathematical biological model that governs the mechanism of bacteria to discovery food and gets rid of venoms. The suggested model plays a vital rul...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-04-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972200105X |
| _version_ | 1818320875704811520 |
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| author | Emad H.M. Zahran Hijaz Ahmad Tareq Saeed Thongchai Botmart |
| author_facet | Emad H.M. Zahran Hijaz Ahmad Tareq Saeed Thongchai Botmart |
| author_sort | Emad H.M. Zahran |
| collection | DOAJ |
| description | In our current paper, we will extract new unexpected diverse variety of the exact solutions to the Keller-Segel -Fisher system (KSFS) which is a famous mathematical biological model that governs the mechanism of bacteria to discovery food and gets rid of venoms. The suggested model plays a vital rule for health of humans, animals as well as all other organisms. There are three famous different techniques are introduced for extract and document these new unexpected behaviors of the exact solutions are the (G′G) -expansion method, the extended simple equation method (ESEM) and the Riccati-Bernoulli Sub-ODE method (RBSODM). We will implement these three proposed techniques in the same time and in arranged sequence. Furthermore, we will document and list a comparison between our new achieved exact solutions of this model each with each other as well as the previously documented solutions by other authors who studied this model before. |
| first_indexed | 2024-12-13T10:31:58Z |
| format | Article |
| id | doaj.art-db816ef269324141b2749f37e49601d1 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-13T10:31:58Z |
| publishDate | 2022-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-db816ef269324141b2749f37e49601d12022-12-21T23:50:50ZengElsevierResults in Physics2211-37972022-04-0135105320New diverse variety for the exact solutions to Keller-Segel-Fisher systemEmad H.M. Zahran0Hijaz Ahmad1Tareq Saeed2Thongchai Botmart3Departments of Mathematical and Physical Engineering, Benha University, Faculty of Engineering, Shubra, EgyptInformation Technology Application and Research Center, Istanbul Ticaret University, 34445 Istanbul, Turkey; Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39,00186 Roma, ItalyNonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand; Corresponding author.In our current paper, we will extract new unexpected diverse variety of the exact solutions to the Keller-Segel -Fisher system (KSFS) which is a famous mathematical biological model that governs the mechanism of bacteria to discovery food and gets rid of venoms. The suggested model plays a vital rule for health of humans, animals as well as all other organisms. There are three famous different techniques are introduced for extract and document these new unexpected behaviors of the exact solutions are the (G′G) -expansion method, the extended simple equation method (ESEM) and the Riccati-Bernoulli Sub-ODE method (RBSODM). We will implement these three proposed techniques in the same time and in arranged sequence. Furthermore, we will document and list a comparison between our new achieved exact solutions of this model each with each other as well as the previously documented solutions by other authors who studied this model before.http://www.sciencedirect.com/science/article/pii/S221137972200105XThe KSFSThe (G′G) -expansion methodThe ESEMThe RBSODMThe traveling solutions |
| spellingShingle | Emad H.M. Zahran Hijaz Ahmad Tareq Saeed Thongchai Botmart New diverse variety for the exact solutions to Keller-Segel-Fisher system Results in Physics The KSFS The (G′G) -expansion method The ESEM The RBSODM The traveling solutions |
| title | New diverse variety for the exact solutions to Keller-Segel-Fisher system |
| title_full | New diverse variety for the exact solutions to Keller-Segel-Fisher system |
| title_fullStr | New diverse variety for the exact solutions to Keller-Segel-Fisher system |
| title_full_unstemmed | New diverse variety for the exact solutions to Keller-Segel-Fisher system |
| title_short | New diverse variety for the exact solutions to Keller-Segel-Fisher system |
| title_sort | new diverse variety for the exact solutions to keller segel fisher system |
| topic | The KSFS The (G′G) -expansion method The ESEM The RBSODM The traveling solutions |
| url | http://www.sciencedirect.com/science/article/pii/S221137972200105X |
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