THE INTEGRABILITY OF THE GENERALIZED BURGERS-HUXLEY EQUATION

Yangtao Li; Wenyi Wang; Yusen Wu

doi:10.11948/20250123

2026 Volume 16 Issue 3

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Yangtao Li, Wenyi Wang, Yusen Wu. THE INTEGRABILITY OF THE GENERALIZED BURGERS-HUXLEY EQUATION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1594-1607. doi: 10.11948/20250123

Citation:

Yangtao Li, Wenyi Wang, Yusen Wu. THE INTEGRABILITY OF THE GENERALIZED BURGERS-HUXLEY EQUATION[J]. Journal of Applied Analysis & Computation, 2026, 16(3): 1594-1607. doi: 10.11948/20250123

THE INTEGRABILITY OF THE GENERALIZED BURGERS-HUXLEY EQUATION

1.
School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, China

Author Bio: Email: lyt3317605469@163.com(Y. Li); Email: wangwenyi7984@163.com(W. Wang)
Corresponding author: Email: wuyusen621@126.com(Y. Wu)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 12471166)

Abstract

Abstract

In this paper, we investigate the integrability of the generalized Burgers-Huxley equation. Firstly, we transform the equation into a planar dynamical system using the traveling wave transformation. Furthermore, we determine the type of each singular point and study their integrability. By computing the saddle values and singular point quantities, we finally derive the integrability conditions of the system.
- Integrability /
- generalized Burgers-Huxley equation /
- singular point quantity /
- saddle value
MSC: 34A05, 34C05

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References

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