On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras

On the problem of classifying integrable chains with three independent variables

(2023) M. N. Kuznetsova et al.   THEORETICAL AND MATHEMATICAL PHYSICS

Miura-Type Transformations for Integrable Lattices in 3D

(2023) Ismagil T. Habibullin et al.   Mathematics

Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph

(2022) I. T. Habibullin et al.   THEORETICAL AND MATHEMATICAL PHYSICS

Characteristic Lie algebras of integrable differential-difference equations in 3D

(2021) I T Habibullin et al.   Journal of Physics A-Mathematical and Theoretical

A classification algorithm for integrable two-dimensional lattices via Lie—Rinehart algebras

(2020) I. T. Habibullin et al.   THEORETICAL AND MATHEMATICAL PHYSICS

On a class of 2D integrable lattice equations

(2020) E. V. Ferapontov et al.   JOURNAL OF MATHEMATICAL PHYSICS

Integrability via Geometry: Dispersionless Differential Equations in Three and Four Dimensions

(2020) David M. J. Calderbank et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Darboux integrability of discrete two-dimensional Toda lattices

(2015) S. V. Smirnov   THEORETICAL AND MATHEMATICAL PHYSICS

On the Classification of Discrete Hirota-Type Equations in 3D

(2014) E. V. Ferapontov et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

On classification of integrable Davey–Stewartson type equations

(2013) Benoit Huard et al.   Journal of Physics A-Mathematical and Theoretical

Characteristic Lie rings, finitely-generated modules and integrability conditions for (2 + 1)-dimensional lattices

(2013) Ismagil Habibullin   PHYSICA SCRIPTA

Integrable pseudopotentials related to generalized hypergeometric functions

(2010) A. V. Odesskii et al.   Selecta Mathematica-New Series

Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)

(2009) Ismagil Habibullin et al.   JOURNAL OF MATHEMATICAL PHYSICS

Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits

(2009) E V Ferapontov et al.   Journal of Physics A-Mathematical and Theoretical

The tangential map and associated integrable equations

(2009) V E Adler   Journal of Physics A-Mathematical and Theoretical

On the classification of Darboux integrable chains

(2008) Ismagil Habibullin et al.   JOURNAL OF MATHEMATICAL PHYSICS