On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple
- https://doi.org/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.
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Cite this article
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 - https://doi.org/10.2991/jnmp.k.210614.001 ID - Wang2021 ER -