Volume 19, Issue 1, March 2012, Pages 16 - 26
A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV Equation
Authors
Xiaorui Hu
Software College, East China Normal University, No. 3663 North Zhongshan Road, Shanghai, 200062, P. R. China,lansexiaoer@163.com
Yong Chen
Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, No. 3663 North Zhongshan Road, Shanghai, 200062, P. R. China
Software College, East China Normal University, No. 3663 North Zhongshan Road, Shanghai, 200062, P. R. China,ychen@sei.ecnu.edu.cn
Received 20 April 2011, Accepted 26 September 2011, Available Online 6 January 2021.
- DOI
- 10.1142/S1402925112500027How to use a DOI?
- Keywords
- Binary Bell polynomials; nonisospectral MKdV equation; bilinear Bäcklund transformation; infinite conservation law
- Abstract
An elementary and systematic method based on binary Bell polynomials is applied to nonisospectral and variable-coefficient MKdV (vcMKdV) equation. The bilinear representation, bilinear Bäcklund transformation, Lax pair and infinite local conservation laws are obtained step by step, without too much clever guesswork.
- Copyright
- © 2012 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 - Xiaorui Hu AU - Yong Chen PY - 2021 DA - 2021/01/06 TI - A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV Equation JO - Journal of Nonlinear Mathematical Physics SP - 16 EP - 26 VL - 19 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500027 DO - 10.1142/S1402925112500027 ID - Hu2021 ER -