Volume 21, Issue 3, June 2014, Pages 371 - 381
µ -symmetry and µ -conservation law for the extended mKdV equation
Authors
Kh. Goodarzi
Department of Mathematics, College of Basic Sciences, Karaj, Islamic Azad University, Alborz, Iran,kh.goodarzi@kiau.ac.ir
M. Nadjafikhah*
Department of Mathematics, College of Basic Sciences, Karaj, Islamic Azad University, Alborz, Iran,m_nadjafikhah@iust.ac.ir
*Corresponding author.
Corresponding Author
M. Nadjafikhah
Received 29 December 2013, Accepted 12 April 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2014.936758How to use a DOI?
- Keywords
- Symmetry; µ-symmetry; µ-conservation law; variational problem; order reduction
- Abstract
In this paper, we obtain µ -symmetry and µ -conservation law of the extended mKdV equation. The extended mKdV equation dose not admit a variational problem since it is of odd order. First we obtain µ -conservation law of the extended mKdV equation in potential form because it admits a variational problem, using it, we can obtain µ -conservation law of the extended mKdV equation.
- Copyright
- © 2014 The Authors. Published by Atlantis Press 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/).
Cite this article
TY - JOUR AU - Kh. Goodarzi AU - M. Nadjafikhah PY - 2021 DA - 2021/01/06 TI - µ -symmetry and µ -conservation law for the extended mKdV equation JO - Journal of Nonlinear Mathematical Physics SP - 371 EP - 381 VL - 21 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2014.936758 DO - 10.1080/14029251.2014.936758 ID - Goodarzi2021 ER -