Lax pair for the Adler (lattice Krichever–Novikov) system

2001/10/16 by F. W. Nijhoff, F.W. Nijhoff · 209 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Lattice (music) #Lattice model (finance) #Lax pair #Nonlinear Partial Differential Equations #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.1016/s0375-9601(02)00287-6

published in Physics Letters A 297(1-2), 49-58 (Elsevier BV) · 17 pages, 3 figures

arxiv created 2001/10/16 · openalex publication_date 2002/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the paper [V. Adler, IMRN \bf 1 (1998) 1--4] a lattice version of the Krichever-Novikov equation was constructed. We present in this note its Lax pair and discuss its elliptic form.

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