2008/10/31 by L. V. Bogdanov · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.1007/s11232-009-0078-3
published as Theoretical and Mathematical Physics, 160(1): 888-894 (2009) · Talk at NLP5 conference, Gallipoli. 8 pages. Formulae for the second flows of Dunajski equation hierarchy corrected (page 6)
crossref issued 2009/07/01 · crossref published 2009/07/01 · crossref published-print 2009/07/01 · openalex publication_date 2009/07/01 · crossref created 2009/08/18 · crossref published-online 2009/08/19 · arxiv created 2016/03/15 · arxiv updated 2016/03/16 · openalex created_date 2025/10/10 · crossref deposited 2026/04/06 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/31
A class of multidimensional integrable hierarchies connected with commutation of general (unreduced) (N+1)-dimensional vector fields containing derivative over spectral variable is considered. They are represented in the form of generating equation, as well as in the Lax-Sato form. A dressing scheme based on nonlinear vector Riemann problem is presented for this class. The hierarchies connected with Manakov-Santini equation and Dunajski system are considered as illustrative examples.