Journal of Nonlinear Mathematical Physics

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Volume 24, Issue 4, September 2017, Pages 516 - 530

Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation*

Authors
Xiu-Bin Wang§, †
Shou-Fu Tian♡, §, ∥, *, ⋆, Chun-Yan Qin§, Tian-Tian Zhang§, *, ‡
♡School of Safety Engineering, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China
§School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology, Xuzhou 221116, People’s Republic of China.
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, United Kingdom.
*

Project supported by the Fundamental Research Funds for the Central Universities under Grant No. 2014XT02.

*Corresponding authors.
Corresponding Authors
Shou-Fu Tian, Tian-Tian Zhang
Received 12 December 2016, Accepted 25 May 2017, Available Online 6 January 2021.
DOI
10.1080/14029251.2017.1375688How to use a DOI?
Keywords
The the time-fractional generalized KdV-type equation; Lie group analysis method; Conservation laws; Analytical solution; Travelling wave solutions
Abstract

Under investigation in this work is the time-fractional generalized KdV-type equation, which occurs in different contexts in mathematical physics. Lie group analysis method is presented to explicitly study its vector fields and symmetry reductions. Furthermore, two straightforward methods are employed to consider its travelling wave solutions and power series solutions, respectively. Finally, based on the new conservation theorem, conservation laws of the equation are well constructed with a detailed derivation.

Copyright
© 2017 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC license.

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
24 - 4
Pages
516 - 530
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2017.1375688How to use a DOI?
Copyright
© 2017 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

risenwbib
TY  - JOUR
AU  - Xiu-Bin Wang
AU  - Shou-Fu Tian
AU  - Chun-Yan Qin
AU  - Tian-Tian Zhang
PY  - 2021
DA  - 2021/01/06
TI  - Lie symmetry analysis, conservation laws and analytical solutions of a time-fractional generalized KdV-type equation*
JO  - Journal of Nonlinear Mathematical Physics
SP  - 516
EP  - 530
VL  - 24
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2017.1375688
DO  - 10.1080/14029251.2017.1375688
ID  - Wang2021
ER  -