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Finite-genus solutions for the Hirota's bilinear difference equation

2000/02/04 by V E Vekslerchik, V. E. Vekslerchik, Vekslerchik, V. E.
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0002005

5 pages

arxiv created 2000/02/04 · openalex publication_date 2000/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The finite-genus solutions for the Hirota's bilinear difference equation are constructed using the Fay's identities for the theta-functions of compact Riemann surfaces.

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