Cauchy matrix approach for \(\mathrm{H}1^a\) equation in the torqued Adler-Bobenko-Suris lattice list

Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

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Lax pair for the Adler (lattice Krichever-Novikov) system
Sur l'équation en matrices \(px=xq\).
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Multidimensional quadrilateral lattices are integrable.
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Cauchy matrix type solutions for the nonlocal nonlinear Schrödinger equation
From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations
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Discrete systems and integrability
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Solutions to the modified Korteweg-de Vries equation
Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach
An inverse scattering transform for the lattice potential KdV equation
A finite genus solution of the H1 model
Bäcklund transformations for integrable lattice equations
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Rational solutions to Q3 _δ in the Adler-Bobenko-Suris list and degenerations
The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation
A discrete negative AKNS equation: generalized Cauchy matrix approach
Integrability of auto-Bäcklund transformations and solutions of a torqued ABS equation
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation
Solutions to the \(\mathrm{SU}(\mathcal{N})\) self-dual Yang-Mills equation
Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation
Cauchy matrix approach to three non-isospectral nonlinear Schrödinger equations
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Classification and Lagrangian structure of 3D consistent quad-equations

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