Quasi-classical \dbar-method: Generating equations for dispersionless integrable hierarchies

2001/11/28 by L. V. Bogdanov, Bogdanov, L. V., B. G. Konopelchenko +4 · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0111062

11 pages, the text of the talk at NEEDS 2001 conference

arxiv created 2001/11/28 · openalex publication_date 2001/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The quasi-classical ∂-dressing method is used to derive compact generating equations for dispersionless hierarchies. Dispersionless Kadomtsev-Petviashvili (KP) and two-dimensional Toda lattice (2DTL) hierarchies are considered as illustrative examples.

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