1996/06/30 by L. A. Dickey, Dickey, L. A., W. Strampp +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical functions and polynomials #Nonlinear Waves and Solitons #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9606009
LaTeX, 11 pages
arxiv created 1996/07/03 · openalex publication_date 1996/07/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Some new formulas for the KP hierarchy are derived from the differential Fay identity. They proved to be useful for the k-constrained hierarchies providing a series of determinant identities for them. A differential equation is introduced which is called ``universal" since it plays an important role for all the k-constrained hierarchies. In the cases k=1,2 and 3 explicit formulas are presented, in all the others recurrence relations are given which enable one to obtain the identities.