Exactly Solvable and Integrable Systems

Authors and titles for November 2024

[1] arXiv:2411.00325 [pdf, other]

Title: Cluster Reductions, Mutations, and $q$-Painlev\'e Equations

Mikhail Bershtein, Pavlo Gavrylenko, Andrei Marshakov, Mykola Semenyakin

Comments: 60 pages, 56 figures, preliminary version

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[2] arXiv:2411.01657 [pdf, other]

Title: The Painlev\'e equivalence problem for a constrained 3D system

Galina Filipuk, Michele Graffeo, Giorgio Gubbiotti, Alexander Stokes

Comments: 52 pages, 9 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[3] arXiv:2411.07333 [pdf, html, other]

Title: Several Examples of Application of the Simple Equations Method (SEsM) for Obtaining Exact Solutions of Nonlinear PDEs

Zlatinka I. Dimitrova

Comments: 14 pages, 0 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[4] arXiv:2411.07682 [pdf, html, other]

Title: Systems of several first-order quadratic recursions whose evolution is easily ascertainable

Francesco Calogero

Subjects: Exactly Solvable and Integrable Systems (nlin.SI)

[5] arXiv:2411.08787 [pdf, html, other]

Title: Stability analysis of breathers for coupled nonlinear Schrodinger equations

Liming Ling, Dmitry E. Pelinovsky, Huajie Su

Comments: 59 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[6] arXiv:2411.08853 [pdf, html, other]

Title: Rational solutions of Painlev\'e V from Hankel determinants and the asymptotics of their pole locations

Malik Balogoun, Marco Bertola

Comments: 44 pages, 11 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[7] arXiv:2411.10807 [pdf, html, other]

Title: From the self-dual Yang-Mills equation to the Fokas-Lenells equation

Shangshuai Li, Shuzhi Liu, Da-jun Zhang

Comments: 23 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)

[8] arXiv:2411.00059 (cross-list from cond-mat.stat-mech) [pdf, html, other]

Title: An Exact Solution for the Kinetic Ising Model with Non-Reciprocity

Gabriel Weiderpass, Mayur Sharma, Savdeep Sethi

Comments: 8 pages, LaTeX, 3 figues. arXiv admin note: text overlap with arXiv:2410.23615

Subjects: Statistical Mechanics (cond-mat.stat-mech); Soft Condensed Matter (cond-mat.soft); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

[9] arXiv:2411.00512 (cross-list from hep-th) [pdf, html, other]

Title: Sine-Gordon kink lattice

E. da Hora, C. dos Santos, Fabiano C. Simas

Comments: 18 pages, 3 figures. Suggestions are welcome

Subjects: High Energy Physics - Theory (hep-th); Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[10] arXiv:2411.01389 (cross-list from math-ph) [pdf, html, other]

Title: Duality of the Navier-Stokes dynamics and lack of finite-time explosion

Alexander Migdal

Comments: 13 pages, 4 figures, fixed some typos

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Fluid Dynamics (physics.flu-dyn)

[11] arXiv:2411.01802 (cross-list from hep-th) [pdf, html, other]

Title: Classical and quantum curves of 5d Seiberg's theories and their 4d limit

Oleg Chalykh, Yongchao Lü

Comments: 22 pages

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[12] arXiv:2411.01891 (cross-list from math.AP) [pdf, other]

Title: Exact periodic solutions of the generalized Constantin-Lax-Majda equation with dissipation

Denis A. Silantyev, Pavel M. Lushnikov, Michael Siegel, David M. Ambrose

Comments: 46 pages, 13 figures

Subjects: Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[13] arXiv:2411.02290 (cross-list from math-ph) [pdf, html, other]

Title: Potentials with finite-band spectrum and finite-dimensional reductions of BKM systems

Andrey Yu. Konyaev, Vladimir S. Matveev

Comments: 27 pages; the paper does not contain new results but aims on understanding results of the greats using different approach, which can possibly be applied for a much wider class of integrable PDE systems

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Exactly Solvable and Integrable Systems (nlin.SI)

[14] arXiv:2411.02472 (cross-list from cond-mat.stat-mech) [pdf, html, other]

Title: The q-deformed Haldane-Shastry chain at q=i with even length

Adel Ben Moussa, Jules Lamers, Didina Serban

Comments: 7 pages, no figure

Subjects: Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[15] arXiv:2411.02519 (cross-list from quant-ph) [pdf, html, other]

Title: Bethe Ansatz, Quantum Circuits, and the F-basis

Roberto Ruiz, Alejandro Sopena, Esperanza López, Germán Sierra, Balázs Pozsgay

Comments: 38 pages, 18 figures

Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[16] arXiv:2411.03001 (cross-list from nlin.PS) [pdf, html, other]

Title: Variational Pattern Selection

Mark Mineev-Weinstein, Oleg Alekseev

Comments: 9 pages, 4 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[17] arXiv:2411.03997 (cross-list from physics.flu-dyn) [pdf, html, other]

Title: Evolution of internal cnoidal waves with local defects in a two-layer fluid with rotation

Korsarun Nirunwiroj, Dmitri Tseluiko, Karima Khusnutdinova

Comments: 32 pages, 17 figures; Key words: Internal waves, Ostrovsky equation, weak solutions of the KdV equation, rogue waves

Subjects: Fluid Dynamics (physics.flu-dyn); Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[18] arXiv:2411.04891 (cross-list from physics.optics) [pdf, html, other]

Title: Peregrine solitons and resonant radiation in cubic and quadratic media

Marcos Caso-Huerta (1), Lili Bu (1 and 2), Shihua Chen (2 and 3), Stefano Trillo (4), Fabio Baronio (1) ((1) Department of Information Engineering, University of Brescia, Italy (2) School of Physics and Frontiers Science Center for Mobile Information, Communication and Security, Southeast University, Nanjing, China, (3) Purple Mountain Laboratories, Nanjing, China, (4) Department of Engineering, University of Ferrara, Italy)

Journal-ref: Chaos 34, 072104 (2024)

Subjects: Optics (physics.optics); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[19] arXiv:2411.05707 (cross-list from nlin.PS) [pdf, html, other]

Title: Mach reflection and expansion of two-dimensional dispersive shock waves

Gino Biondini, Alexander Bivolcic, Mark A. Hoefer

Comments: 10 pages, 11 figures

Subjects: Pattern Formation and Solitons (nlin.PS); Exactly Solvable and Integrable Systems (nlin.SI)

[20] arXiv:2411.08030 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Integrable fishnet circuits and Brownian solitons

Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Benjamin J. A. Héry, Vincent Pasquier

Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[21] arXiv:2411.09227 (cross-list from math-ph) [pdf, html, other]

Title: Euler's original derivation of elastica equation

Shigeki Matsutani

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG); Exactly Solvable and Integrable Systems (nlin.SI)

[22] arXiv:2411.11473 (cross-list from cond-mat.stat-mech) [pdf, html, other]

Title: Anomalous charge transport in the sine-Gordon model

Frederik Møller, Botond C. Nagy, Márton Kormos, Gábor Takács

Comments: 17 pages, 8 figures. Comments are welcome

Subjects: Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Exactly Solvable and Integrable Systems (nlin.SI)

[23] arXiv:2411.11602 (cross-list from q-bio.PE) [pdf, html, other]

Title: Relating dynamics and structure of discrete and continuous time systems

Shuyun Jiao, David Waxman

Comments: 32 pages, 7 figures

Subjects: Populations and Evolution (q-bio.PE); Exactly Solvable and Integrable Systems (nlin.SI); Quantitative Methods (q-bio.QM)