On a class of 2D integrable lattice equations

We develop a new approach to the classification of integrable equations of the form uxy = f(u, ux, uy, Δzu Δz¯u, Δ zz¯u) where Δz and Δz¯ are the forward/backward discrete derivatives. The following 2-step classification procedure is proposed: (1) First we require that the dispersionless limit of t...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, Ismagil Habibullin, Mariya Kuznetsova, Vladimir Novikov
Format: Default Article
Published: 2020
Subjects:
Mathematical Physics
Mathematical Sciences
Physical Sciences
Darboux integrability.
dispersionless Lax pair
Einstein-Weyl geometry
characteristic variety
2D lattice equations
Online Access:https://hdl.handle.net/2134/12559481.v1
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https://hdl.handle.net/2134/12559481.v1

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