Volume 26, Issue 1, December 2018, Pages 69 - 90
On μ-symmetries, μ-reductions, and μ-conservation laws of Gardner equation
Authors
Özlem Orhan
Department of Mathematical Engineering, Istanbul Technical University, 34469 Maslak Istanbul-Turkey,orhanozlem@itu.edu.tr
Özer Teoman
Department of Civil Engineering, Istanbul Technical University, 34469 Maslak Istanbul-Turkey,tozer@itu.edu.tr
Received 4 June 2018, Accepted 29 June 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1544789How to use a DOI?
- Keywords
- μ-symmetries; μ-conservation laws; μ-reductions; classification; Gardner equation
- Abstract
In this study, we represent an application of the geometrical characterization of μ-prolongations of vector fields to the nonlinear partial differential Gardner equation with variable coefficients. First, μ-symmetries and the corresponding μ-symmetry classification are investigated and then μ-reduction forms of the equations are obtained. Furthermore, μ-invariant solutions are determined and μ-conservation laws of Gardner equation are studied.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Özlem Orhan AU - Özer Teoman PY - 2021 DA - 2021/01/06 TI - On μ-symmetries, μ-reductions, and μ-conservation laws of Gardner equation JO - Journal of Nonlinear Mathematical Physics SP - 69 EP - 90 VL - 26 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1544789 DO - 10.1080/14029251.2019.1544789 ID - Orhan2021 ER -