Results 31 to 40 of about 159 (52)
Discrete integrable systems generated by Hermite-Pad\'e approximants
, 2015 We consider Hermite-Pad\'e approximants in the framework of discrete integrable systems defined on the lattice $\mathbb{Z}^2$. We show that the concept of multiple orthogonality is intimately related to the Lax representations for the entries of the ...
Aptekarev, Alexander I. +2 more
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Hirota equation and the quantum plane
, 2012 We discuss geometric integrability of Hirota's discrete KP equation in the framework of projective geometry over division rings using the recently introduced notion of Desargues maps.
Doliwa, Adam
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Deriving conservation laws for ABS lattice equations from Lax pairs
, 2012 In the paper we derive infinitely many conservation laws for the ABS lattice equations from their Lax pairs. These conservation laws can algebraically be expressed by means of some known polynomials.
Cheng, Jun-wei +2 more
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A varA variational principle for discrete integrable systemsiational principle for discrete integrable systems [PDF]
, 2018 For integrable systems in the sense of multidimensional consistency (MDC) we can consider the Lagrangian as a form, which is closed on solutions of the equations of motion.
Lobb, SB, Nijhoff, FW
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Homoclinic solutions in periodic partial difference equations
Advances in Nonlinear AnalysisBy using critical point theory in combination with periodic approximations, we obtain novel sufficient conditions for the existence of nontrivial homoclinic solutions for a class of periodic partial difference equations with sign-changing mixed ...
Mei Peng, Zhou Zhan, Yu Jianshe
doaj +1 more source
A superintegrable discrete oscillator and two-variable Meixner polynomials
, 2015 A superintegrable, discrete model of the quantum isotropic oscillator in two-dimensions is introduced. The system is defined on the regular, infinite-dimensional $\mathbb{N}\times \mathbb{N}$ lattice.
Gaboriaud, Julien +3 more
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Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models [PDF]
, 2013 The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian.
Bojowald, Martin
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Percival Lagrangian approach to Aubry-Mather theory [PDF]
, 2011 We present some streamlined proofs of some of the basic results in Aubry-Mather theory (existence of quasi-periodic minimizers, multiplicity results when there are gaps among minimizers) based on the study of hull functions.
De La Llave, Rafael, Xifeng Su
core
, 2016 In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I. +4 more
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Dynamics of a cross-superdiffusive SIRS model with delay effects in transmission and treatment. [PDF]
Nonlinear Dyn, 2023 Mvogo A +3 more
europepmc +1 more source