1. Lax formulation of 3--component KP hierarchy by Shiota construction
- Author
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Cui, Tongtong, Wang, Jinbiao, Cao, Wenqi, and Cheng, Jipeng
- Subjects
Nonlinear Sciences - Exactly Solvable and Integrable Systems ,Mathematical Physics ,35Q53, 37K10, 35Q51 - Abstract
It is quite basic in integrable systems to deriving Lax equations from bilinear equations. For multi--component KP theory, corresponding Lax structures are mainly constructed by matrix pseudo-differential operators for fixed discrete variables, or by matrix difference operators for even-component cases. Here we use Shiota method to construct Lax structure of 3-component KP hierarchy and its reduction by introducing two shift operators $\Lambda_1$ and $\Lambda_2$, where relations among different discrete variables can be easily found. We believe the results here are quite typical for general multi-component KP theory, which may be helpful for general cases., Comment: 20 pages
- Published
- 2024