Volume 28, Issue 3, September 2021, Pages 337 - 343
On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple
Xiaoli Wang1, *, , Jian-Qin Mei2
1School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
*Corresponding author. Email: firstname.lastname@example.org
Received 11 March 2021, Accepted 31 May 2021, Available Online 22 June 2021.
- 10.2991/jnmp.k.210614.001How to use a DOI?
- Lax equation; KdV hierarchy; Boussinesq hierarchy; Lax triple
Based on the Nambu 3-bracket and the operators of the KP hierarchy, we propose the generalized Lax equation of the Lax triple. Under the operator constraints, we construct the generalized KdV hierarchy and Boussinesq hierarchy. Moreover, we present the exact solutions of some nonlinear evolution equations.
- © 2021 The Authors. Published by Atlantis Press B.V.
- 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 - Xiaoli Wang AU - Jian-Qin Mei PY - 2021 DA - 2021/06/22 TI - On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple JO - Journal of Nonlinear Mathematical Physics SP - 337 EP - 343 VL - 28 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.210614.001 DO - 10.2991/jnmp.k.210614.001 ID - Wang2021 ER -