Method for searching higher symmetries for quad-graph equations

2011/04/04 by Rustem N. Garifullin, Rustem N Garifullin, Elena V. Gudkova +3 · 25 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Homogeneous space #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #Symmetry (geometry) #Symmetry group #advanced mathematical theories #nlin.SI

paper · pdf · doi:10.1088/1751-8113/44/32/325202

published in Journal of Physics A Mathematical and Theoretical 44(32), 325202 (Institute of Physics) · 16 pages, submitted to JPA

arxiv created 2011/04/04 · openalex publication_date 2011/07/15 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A generalized symmetry integrability test for discrete equations on the square lattice is studied. Integrability conditions are discussed. A method for searching higher symmetries (including non-autonomous ones) for quad-graph equations is suggested based on characteristic vector fields.

Citations

• On the classification of Darboux integrable chains
• Lax pair for the Adler (lattice Krichever–Novikov) system

Cited by

• Peculiar symmetry structure of some known discrete nonautonomous equations