Integrability of nonabelian differential-difference equations: the symmetry approach

DOI10.1007/S00220-024-05182-5MaRDI QIDQ6659451

Publication date: 9 January 2025

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)

Cites Work

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Recursion operators, conservation laws, and integrability conditions for difference equations
Necessary integrability conditions for evolutionary lattice equations
Global classification of two-component approximately integrable evolution equations
A new approach to the quantum KdV.
Non-abelian evolution systems with conservation laws
The reduction problem and the inverse scattering method
One symmetry does not imply integrability
On the integrability of homogeneous scalar evolution equations
Integrable evolution equations on associative algebras
Integrable ODEs on associative algebras
On the integrability of systems of second order evolution equations with two components
Classification of integrable \(\mathcal B\)-equations
Quantisations of the Volterra hierarchy
Hamiltonian structures for integrable nonabelian difference equations
Perturbative symmetry approach for differential-difference equations
Discrete equation on a square lattice with a nonstandard structure of generalized symmetries
Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice
Classification of integrable one-component systems on associative algebras.
Classification of five-point differential-difference equations
The nonabelian Toda lattice: Discrete analogue of the matrix Schrödinger spectral problem
Algebraic constructions of integrable dynamical systems-extensions of the Volterra system
ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
Non-abelian integrable systems of the derivative nonlinear Schrödinger type
Perturbative symmetry approach
Classification of five-point differential–difference equations II
Explicit auto-transformations of integrable chains
Recursion and Hamiltonian operators for integrable nonabelian difference equations
Quantisation ideals of nonabelian integrable systems
Integrals of nonlinear equations of evolution and solitary waves
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
On integrability of systems of evolution equations
Classification of Hamiltonian non-abelian Painlevé type systems
On Classification of Integrable Nonevolutionary Equations
Symmetry Structure of Integrable Nonevolutionary Equations
Hamiltonians for the quantised Volterra hierarchy

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