Lax Formulation of 3-Component KP Hierarchy by Shiota Construction

• Published in: Journal of nonlinear science Vol. 35; no. 5
• Main Authors: Cui, Tongtong, Wang, Jinbiao, Cao, Wenqi, Cheng, Jipeng
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2025; Springer Nature B.V
• Subjects: Analysis; Classical Mechanics; Differential equations; Economic Theory/Quantitative Economics/Mathematical Methods; Finite differences; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Operators (mathematics); Theoretical; Tau function; 3-Component KP; Lax equation; 35Q53; 35Q51; 37K10; Bilinear equation

It is quite basic in integrable systems to derive 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...