On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple

Authors

Xiaoli Wang^{1, *,} , 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: wxlspu@qlu.edu.cn

DOI

10.2991/jnmp.k.210614.001How to use a DOI?

Keywords

Lax equation; KdV hierarchy; Boussinesq hierarchy; Lax triple

Abstract

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.

Copyright

© 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  -