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- Title
Travelling wave solutions of the Burgers–Huxley equation.
- Authors
Feng, Zhaosheng; Tian, Jing; Zheng, Shenzhou; Lu, Hanfang
- Abstract
In this paper, we are concerned with the generalized Burgers–Huxley equation by means of the Lie symmetry method. We apply the Lie symmetry method to derive the linearized symmetry condition. Through analysing the associated determining system, we find two non-trivial infinitesimal generators, and obtain bounded travelling wave solutions by solving the reduced differential equation under certain parametric conditions.
- Subjects
TRAVELING waves (Physics); BURGERS' equation; GENERALIZATION; MATHEMATICAL symmetry; DIFFERENTIAL equations; PROBLEM solving
- Publication
IMA Journal of Applied Mathematics, 2012, Vol 77, Issue 4, p316
- ISSN
0272-4960
- Publication type
Article
- DOI
10.1093/imamat/hxs023