Additional Symmetry of CKP hierarchy

2007/07/03 by Jingsong He, He, Jingsong, Kelei Tian +6
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.0707.0494

13pages, LaTex, to appear in Lett.Math.Phys

arxiv created 2007/07/03 · openalex publication_date 2007/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on the Orlov and Shulman's M operator, the additional symmetries and the string equation of the CKP hierarchy are established, and then the higher order constraints on L^l are obtained. In addition, the generating function and some properties are also given. In particular, the additional symmetry flows form a new infinite dimensional algebra W^C_1+∞, which is a subalgebra of W_1+∞.

Citations

• The n--TH Reduced BKP Hierarchy, the String Equation and BW_1+∞--Constraints

Related

• String Equations of the q-KP Hierarchy
• Symmetries of the Kadomstev-Petviashvili Hierarchy
• Q-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations
• Generalized KP hierarchy: Möbius Symmetry, Symmetry Constraints and Calogero-Moser System
• The nonstandard constrained KP hierarchy and the generalized Miura transformations