Solving the conformable Huxley equation using the complex method

Guoqiang Dang; Qiyou Liu; Guoqiang Dang; Qiyou Liu

doi:10.3934/era.2023067

Electronic Research Archive

2023, Volume 31, Issue 3: 1303-1322. doi: 10.3934/era.2023067

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Solving the conformable Huxley equation using the complex method

Guoqiang Dang ,
Qiyou Liu ^,

School of Mathematical Sciences, Beijing Normal University, Beijing 10085, China

Received: 16 September 2022 Revised: 18 December 2022 Accepted: 20 December 2022 Published: 09 January 2023

We apply the complex method to build new exact solutions for the conformable Huxley equation. The results show that abundant new exact solutions were constructed, which extends the results of Cevikel, Bekir and Zahran. Further, we extend the undetermined form for the exponential function solutions in the complex method.
- analytical solutions,
- exact solutions,
- exponential function solutions,
- conformable derivative
Citation: Guoqiang Dang, Qiyou Liu. Solving the conformable Huxley equation using the complex method[J]. Electronic Research Archive, 2023, 31(3): 1303-1322. doi: 10.3934/era.2023067

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Abstract

We apply the complex method to build new exact solutions for the conformable Huxley equation. The results show that abundant new exact solutions were constructed, which extends the results of Cevikel, Bekir and Zahran. Further, we extend the undetermined form for the exponential function solutions in the complex method.

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