2005/12/31 by L. V. Bogdanov, L V Bogdanov, B. G. Konopelchenko +1 · 1 citation
Computer Science · Physics and Astronomy · #Advanced Algebra and Logic #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #gr-qc #nlin.SI
paper · pdf · doi:10.1088/0305-4470/39/38/006
published as J.Phys. A39 (2006) 11793-11802 · 13 pages, LaTeX, minor misprints corrected, references added
arxiv created 2006/01/12 · openalex publication_date 2006/09/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Second heavenly equation hierarchy is considered using the framework of hyper-Kähler hierarchy developed by Takasaki (1989 J. Math. Phys. 30 1515–21, 1989 J. Math. Phys. 31 1877–88). Generating equations for the hierarchy are introduced, they are used to construct generating equations for reduced hierarchies. General N -reductions, logarithmic reduction and rational reduction for one of the Lax–Sato functions are discussed. It is demonstrated that rational reduction is equivalent to the symmetry constraint.