DOI10.4310/MRL.1997.v4.n3.a10zbMath0959.37054arXivq-alg/9701008MaRDI QIDQ1364809
Vladimir S. Retakh, Israel M. Gel'fand, Pavel I. Etingof
Publication date: 28 August 1997
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9701008
On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies ⋮
Multivariate orthogonal polynomials and integrable systems ⋮
Maximally non-abelian Toda systems ⋮
Darboux transformation and exact multisolitons of \(\mathbb{C}P^N\) nonlinear sigma model ⋮
Lie algebraic aspects of the finite nonperiodic Toda flows ⋮
Factorization of a Matrix Differential Operator Using Functions in Its Kernel ⋮
Non-commutative Ward's conjecture and integrable systems ⋮
Differential operators on the superline, Berezinians, and Darboux transformations ⋮
Noncommutative bispectral Darboux transformations ⋮
Integrability and geometry of the Wynn recurrence ⋮
Extensions and generalizations of lattice Gelfand-Dickey hierarchy ⋮
Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model ⋮
Quaternion-Valued Breather Soliton, Rational, and Periodic KdV Solutions ⋮
Sato-theoretic construction of solutions to noncommutative integrable systems ⋮
Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮
DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM ⋮
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮
On Multivariate Interpolation ⋮
Virasoro symmetries of multicomponent Gelfand-Dickey systems ⋮
Soliton scattering in noncommutative spaces ⋮
On factoring an operator using elements of its kernel ⋮
Noncommutative inverse scattering method for the Kontsevich system ⋮
Elementary examples of solutions to Bochner's problem for matrix differential operators ⋮
Bäcklund transformations and the Atiyah–Ward ansatz for non-commutative anti-self-dual Yang–Mills equations ⋮
Classification of multidimensional Darboux transformations: first order and continued type ⋮
Noncommutative spectral decomposition with quasideterminant ⋮
Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation ⋮
Solving Toda field theories and related algebraic and differential properties ⋮
Qualitative behavior of non-Abelian Toda-like flows ⋮
Quantum- and quasi-Plücker coordinates. ⋮
\(W\)-algebras for non-abelian Toda systems ⋮
Quasideterminants ⋮
Quasideterminant solutions of nonlinear Schrödinger equations based on Hermitian symmetric spaces ⋮
Matrix Toda and Volterra lattices ⋮
Binary Darboux transformation for a negative-order AKNS equation ⋮
Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation ⋮
DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF PRINCIPAL CHIRAL AND WZW MODELS ⋮
Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\) ⋮
Bi-Hamiltonian structure of the extended noncommutative Toda hierarchy ⋮
Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted Z-graded graphs ⋮
Matrix biorthogonal polynomials on the real line: Geronimus transformations ⋮
Multi-soliton dynamics of anti-self-dual gauge fields ⋮
An extended noncommutative KP hierarchy ⋮
ON THE DRESSING METHOD FOR THE GENERALIZED COUPLED DISPERSIONLESS INTEGRABLE SYSTEM ⋮
Soliton solutions of noncommutative anti-self-dual Yang–Mills equations ⋮
A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions* ⋮
On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation
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