2002/09/13 by Andrew N. W. Hone, A. N. W. Hone, Hone, A. N. W.
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0209030
Poster from NEEDS 2001, Cambridge
arxiv created 2002/09/13 · openalex publication_date 2002/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a pair of coupled Painlevé equations obtained as a similarity reduction of the Hirota-Satsuma systems we describe special parameter-families of solutions given in terms of mixtures of rational and Airy functions, and in terms of a second Painlevé transcendent. The tau-functions associated to some of these solutions are also given explicitly.