Found 2,385 Documents (Results 1–100)
Hermite-Padé approximation, multiple orthogonal polynomials, and multidimensional Toda equations. (English) Zbl 07919715
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 251-274 (2024).
How birefringence arises from nonlinear electrodynamics. (English) Zbl 07919709
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 179-188 (2024).
Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations. (English) Zbl 07915996
Modulational instability and localized waves in the monoatomic chain with anharmonic potential. (English) Zbl 07909658
Revisiting solutions of the Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations. (English. Russian original) Zbl 07908853
Theor. Math. Phys. 219, No. 3, 944-972 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 474-507 (2024).
Pseudo grid-based physics-informed convolutional-recurrent network solving the integrable nonlinear lattice equations. (English) Zbl 07908475
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations. (English) Zbl 07899519
Reviewer: Arash Ghaani Farashahi (Wien)
Cauchy matrix approach for \(\mathrm{H}1^a\) equation in the torqued Adler-Bobenko-Suris lattice list. (English) Zbl 07899385
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite-dimensional approximations. (English) Zbl 07897513
A family of integrable maps associated with the Volterra lattice. (English) Zbl 07896367
Reviewer: William J. Satzer Jr. (St. Paul)
Standing and traveling waves in a minimal nonlinearly dispersive lattice model. (English) Zbl 07893202
\(W_m\)-algebras and fractional powers of difference operators. (English) Zbl 07892742
Reviewer: William J. Satzer Jr. (St. Paul)
Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. (English) Zbl 07882604
Trends in Mathematics. Cham: Birkhäuser (ISBN 978-3-031-62406-3/hbk; 978-3-031-62409-4/pbk; 978-3-031-62407-0/ebook). ix, 474 p. (2024).
MSC:
53-06
37-06
00B25
53D05
53D17
53D20
53D50
53D55
37K10
37K20
37K25
37K30
37J35
37J38
37J39
39A36
70G45
Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity. (English) Zbl 07872188
A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka-Volterra equation. (English) Zbl 07871194
Non-auto Darboux transformation for \(N\)-soliton solutions of the non-isospectral Korteweg-de Vries hierarchy. (English) Zbl 07869424
Solutions and continuum limits to nonlocal discrete modified Korteweg-de Vries equations. (English) Zbl 07869358
When discrete fronts and pulses form a single family: FPU chain with hardening-softening springs. (English) Zbl 07868584
Darboux’s theorem, Lie series and the standardization of the Salerno and Ablowitz-Ladik models. (English) Zbl 07864771
Connection between the symmetric discrete AKP system and bilinear ABS lattice equations. (English) Zbl 07864744
Delocalized nonlinear vibrational modes and discrete breathers in a body centered cubic lattice. (English) Zbl 07861473
Consistency around a cube property of Hirota’s discrete KdV equation and the lattice sine-Gordon equation. (English) Zbl 07856328
Bäcklund transformations of multi-component Boussinesq and Degasperis-Procesi equations. (English) Zbl 07850804
Two-layer-liquid and lattice considerations through a \((3+1)\)-dimensional generalized Yu-Toda-Sasa-Fukuyama system. (English) Zbl 1543.35203
An extended Merola-Ragnisco-Tu lattice integrable hierarchy and infinite conservation laws. (English) Zbl 07850525
On long waves and solitons in particle lattices with forces of infinite range. (English) Zbl 07849785
Baxter operators in Ruijsenaars hyperbolic system. IV: Coupling constant reflection symmetry. (English) Zbl 07845289
Reviewer: Danilo Latini (Roma)
Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation. (English) Zbl 1537.37095
One-parameter discrete-time Calogero-Moser system. (English. Russian original) Zbl 1539.37071
Theor. Math. Phys. 218, No. 3, 357-369 (2024); translation from Teor. Mat. Fiz. 218, No. 3, 415-429 (2024).
A generalized sine-Gordon equation: reductions and integrable discretizations. (English) Zbl 1542.37060
Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation. (English) Zbl 07836556
Supersymmetric generalization of \(q\)-deformed long-range spin chains of Haldane-Shastry type and trigonometric \(\mathrm{GL}(N|M)\) solution of associative Yang-Baxter equation. (English) Zbl 07834704
Using aromas to search for preserved measures and integrals in Kahan’s method. (English) Zbl 1542.37058
Reviewer: William J. Satzer Jr. (St. Paul)
Solutions of the \(\mathfrak{sl}_2\text{qKZ}\) equations modulo an integer. (English) Zbl 1537.39007
Unique special solution for discrete Painlevé II. (English) Zbl 1540.39019
Reviewer: Ioannis P. Stavroulakis (Ioannina)
Stabilization of the statistical solutions for large times for a harmonic lattice coupled to a Klein-Gordon field. (English. Russian original) Zbl 1533.35323
Theor. Math. Phys. 218, No. 2, 241-263 (2024); translation from Teor. Mat. Fiz. 218, No. 2, 280-305 (2024).
Discrete breathers in a \(\beta\)-FPUT square lattice from in-band external driving. (English) Zbl 1540.37100
Long-time approximations of small-amplitude, long-wavelength FPUT solutions. (English) Zbl 1539.37078
Growth of Sobolev norms and strong convergence for the discrete nonlinear Schrödinger equation. (English) Zbl 1534.35364
Growth and integrability of some birational maps in dimension three. (English) Zbl 1533.14025
Reviewer: Ahmed Lesfari (El Jadida)
The effect of loss/gain and Hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves. (English) Zbl 1537.37094
Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure. (English) Zbl 1537.37077
Integrable sigma models at RG fixed points: quantisation as affine Gaudin models. (English) Zbl 07802660
On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\). (English) Zbl 07790340
Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices. (English) Zbl 1533.37152
Christoffel transformations for (partial-)skew-orthogonal polynomials and applications. (English) Zbl 1533.37142
Nonlinear excitations in multi-dimensional nonlocal lattices. arXiv:2408.11177
Preprint, arXiv:2408.11177 [nlin.PS] (2024).
Stationary reduction method based on nonisospectral deformation of orthogonal polynomials, and discrete Painlevé-type equations. arXiv:2407.09875
Preprint, arXiv:2407.09875 [nlin.SI] (2024).
Existence of solitary waves in particle lattices with power-law forces. arXiv:2406.09184
Preprint, arXiv:2406.09184 [nlin.PS] (2024).
Rogers-Ramanujan identities in Statistical Mechanics. arXiv:2405.08425
Preprint, arXiv:2405.08425 [math-ph] (2024).
Exact calculation of degrees for lattice equations: a singularity approach. arXiv:2402.16206
Preprint, arXiv:2402.16206 [nlin.SI] (2024).
MSC:
39A36
Scattering for the dispersion managed nonlinear Schrödinger equation. arXiv:2401.16717
Preprint, arXiv:2401.16717 [math.AP] (2024).
Periodic Fractional Discrete Nonlinear Schrödinger Equation and Modulational Instability. arXiv:2401.13152
Preprint, arXiv:2401.13152 [math.AP] (2024).
Quasi discreteness analysis of a two dimensional ferromagnetic spin system. (English) Zbl 1542.35355
On a class of hyperbolic equations with third-order integrals. (Russian. English summary) Zbl 07863159
Ufim. Mat. Zh. 15, No. 2, 20-30 (2023); translation in Ufa Math. J. 15, No. 2, 20-30 (2023).
Novel integrability in string theory from automorphic symmetries. (English. Russian original) Zbl 1535.81205
Theor. Math. Phys. 217, No. 3, 1914-1937 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 585-612 (2023).
Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries. (English. Russian original) Zbl 1536.37064
Theor. Math. Phys. 217, No. 2, 1767-1776 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 404-415 (2023).
Discretization of the modified Korteweg-de Vries-sine Gordon equation. (English. Russian original) Zbl 1536.37068
Theor. Math. Phys. 217, No. 2, 1700-1716 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 329-347 (2023).
Periodic traveling wave solutions of discrete nonlinear Klein-Gordon lattices. (English) Zbl 1534.37003
On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras. (English. Russian original) Zbl 1530.37098
Theor. Math. Phys. 217, No. 1, 1541-1573 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 142-178 (2023).
Long-time asymptotics for Toda shock waves in the modulation region. (English) Zbl 1537.37063
Reviewer: Piotr Biler (Wrocław)
Spin Calogero-Moser periodic chains and two dimensional Yang-Mills theory with corners. (English) Zbl 1540.81201
Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model. (English) Zbl 1534.82010
A direct approach to the model of few-optical-cycle solitons beyond the slowly varying envelope approximation. (English) Zbl 1527.35337
The Schwarzian octahedron recurrence (dSKP equation). I: Explicit solutions. (English) Zbl 1527.05012
Solutions and continuum limits to nonlocal discrete sine-Gordon equations: bilinearization reduction method. (English) Zbl 1529.39020
A generalized integrable lattice hierarchy related to the Ablowitz-Ladik lattice: conservation law, Darboux transformation and exact solution. (English) Zbl 1527.35351
On integrability of the deformed Ruijsenaars-Schneider system. (English. Russian original) Zbl 1539.37064
Russ. Math. Surv. 78, No. 2, 349-386 (2023); translation from Usp. Mat. Nauk 78, No. 2, 149-188 (2023).
Reviewer: Nenad Manojlović (Faro)
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