| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 2, 2018
Shock Waves, Discontinuities and Singularities in Natural Phenomena
|
|
|---|---|---|
| Article Number | 24 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/mmnp/2018025 | |
| Published online | 06 April 2018 | |
Symmetry analysis and conservation laws of the time fractional Kaup-Kupershmidt equation from capillary gravity waves
1
Department of Mathematics, Harbin Institute of Technology,
Harbin
150001, P.R. China.
2
Department of Mathematics, University of British Columbia,
Vancouver
V6T 1Z2, Canada.
* Corresponding author: zhaozlhit@163.com
Received:
9
October
2017
Accepted:
10
October
2017
The Lie symmetry analysis is employed to study the time fractional Kaup-Kupershmidt equation from capillary gravity waves. The Lie point symmetries and the similarity reduction of this equation are obtained. Then we construct the conservation laws by means of Ibragimov’s method.
Mathematics Subject Classification: 34A08 / 76M60 / 70H33
Key words: Time fractional Kaup-Kupershmidt equation / Lie symmetry / similarity reduction / conservation laws
© EDP Sciences, 2018
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