New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP)...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/5098329 |
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| author | Yu-Ming Chu Shumaila Javeed Dumitru Baleanu Sidra Riaz Hadi Rezazadeh |
| author_facet | Yu-Ming Chu Shumaila Javeed Dumitru Baleanu Sidra Riaz Hadi Rezazadeh |
| author_sort | Yu-Ming Chu |
| collection | DOAJ |
| description | This work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation. The considered models are significant in biology. The KPP equation describes genetic model for spread of dominant gene through population. The FHN equation is imperative in the study of intercellular trigger waves. Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection. The proposed technique FIM can be applied to find the exact solutions of PDEs. |
| format | Article |
| id | doaj-art-eb34fb3852b24effa354cf52628300ec |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-eb34fb3852b24effa354cf52628300ec2025-02-03T05:51:16ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/50983295098329New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead EquationYu-Ming Chu0Shumaila Javeed1Dumitru Baleanu2Sidra Riaz3Hadi Rezazadeh4Department of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, Cankaya University, Ankara, TurkeyDepartment of Mathematics, Riphah International University, Sector I-14, Islamabad, PakistanFaculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, IranThis work presents the new exact solutions of nonlinear partial differential equations (PDEs). The solutions are acquired by using an effectual approach, the first integral method (FIM). The suggested technique is implemented to obtain the solutions of space-time Kolmogorov Petrovskii Piskunov (KPP) equation and its derived equations, namely, Fitzhugh Nagumo (FHN) equation and Newell-Whitehead (NW) equation. The considered models are significant in biology. The KPP equation describes genetic model for spread of dominant gene through population. The FHN equation is imperative in the study of intercellular trigger waves. Similarly, the NW equation is applied for chemical reactions, Faraday instability, and Rayleigh-Benard convection. The proposed technique FIM can be applied to find the exact solutions of PDEs.http://dx.doi.org/10.1155/2020/5098329 |
| spellingShingle | Yu-Ming Chu Shumaila Javeed Dumitru Baleanu Sidra Riaz Hadi Rezazadeh New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation Advances in Mathematical Physics |
| title | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation |
| title_full | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation |
| title_fullStr | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation |
| title_full_unstemmed | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation |
| title_short | New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation |
| title_sort | new exact solutions of kolmogorov petrovskii piskunov equation fitzhugh nagumo equation and newell whitehead equation |
| url | http://dx.doi.org/10.1155/2020/5098329 |
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