https://doi.org/10.1140/epjp/s13360-020-00936-1
Regular Article
Invariant analysis, optimal system of Lie sub-algebra and conservation laws of (3+1)-dimensional KdV–BBM equation
Department of Mathematics, National Institute of Technology, Rourkela, 769008, India
* e-mail: santanusaharay@yahoo.com
Received:
3
May
2020
Accepted:
10
November
2020
Published online:
17
November
2020
In this paper, a nonlinear fourth-order (3+1)-dimensional KdV Benjamin–Bona–Mahony equation is studied using Lie symmetry approach. Lie symmetry analysis is executed to obtain the entire vector field, group-invariant solutions and similarity reductions based on the one-dimensional optimal sub-algebra. One-dimensional optimal systems are constructed using adjoint representation of a Lie group on its Lie algebra. Finally, the conservation laws have been obtained by considering the “new conservation theorem” proposed by Ibragimov.
PACS: Numbers: – 02.30.Jr / Numbers: – 02.20.Sv / Numbers: – 11.30-J
Key words: (3+1)-dimensional KdV Benjamin–Bona–Mahony equation / Lie symmetry analysis / Group-invariant solutions / Adjoint representation / Optimal sub-algebra / Conservation laws
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
