2001/03/16 by B. Konopelchenko, B. G. Konopelchenko, L. Martinez Alonso +5
Computer Science · Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #Polynomial and algebraic computation #math.CV #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0103023
13 pages, LaTex 24.9KB
arxiv created 2001/03/16 · openalex publication_date 2001/03/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The dispersionless limit of the scalar nonlocal dbar-problem is derived. It is given by a special class of nonlinear first-order equations. A quasi-classical version of the dbar-dressing method is presented. It is shown that the algebraic formulation of dispersionless hierarchies can be expressed in terms of properties of Beltrami tupe equations. The universal Whitham hierarchy and, in particular, the dispersionless KP hierarchy turn out to be rings of symmetries for the quasi-classical dbar-problem.