https://doi.org/10.1140/epjp/s13360-021-01469-x
Regular Article
Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics
Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China
b
gaoyt163@163.com
c
yuxin@buaa.edu.cn
Received:
1
December
2020
Accepted:
20
April
2021
Published online:
14
June
2021
Under investigation in this paper is a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics. We obtain the Lie point symmetry generators, Lie symmetry group and symmetry reductions via the Lie group method. Hyperbolic-function, power-series, trigonometric-function, soliton and rational solutions are derived via the power-series expansion, polynomial expansion and 
expansion method.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
