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Nonlinear dynamical wave structures of Zoomeron equation for population models |
Ahmet Bekir1,† and Emad H M Zahran2 |
1 Neighbourhood of Akcaglan, Imarli Street, Number:28/4, 26030, Eskisehir, Turkey; 2 Departments of Mathematical and Physical Engineering, Benha University, Faculty of Engineering, Shubra, Egypt |
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Abstract The nonlinear dynamical exact wave solutions to the non-fractional order and the time-fractional order of the biological population models are achieved for the first time in the framwork of the Paul-Painlevé approach method (PPAM). When the variables appearing in the exact solutions take specific values, the solitary wave solutions will be easily obtained. The realized results prove the efficiency of this technique.
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Received: 26 September 2021
Revised: 16 December 2021
Accepted manuscript online: 11 January 2022
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PACS:
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04.20.Jb
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(Exact solutions)
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05.45.Yv
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(Solitons)
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94.05.Fg
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(Solitons and solitary waves)
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Corresponding Authors:
Ahmet Bekir
E-mail: bekirahmet@gmail.com
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Cite this article:
Ahmet Bekir and Emad H M Zahran Nonlinear dynamical wave structures of Zoomeron equation for population models 2022 Chin. Phys. B 31 060401
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