Exactly Solvable and Integrable Systems

Authors and titles for nlin.SI in Feb 2024

[1]  arXiv:2402.02166 [pdf, other]

Title: A comprehensive study on zero-background solitons of the sharp-line Maxwell-Bloch equations

Authors: Sitai Li

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

[2]  arXiv:2402.02204 [pdf, ps, other]

Title: The Lax pairs and conserved quantities of the delay Lotka-Volterra equation

Authors: Hiroshi Matsuoka, Kenta Nakata, Ken-ichi Maruno

Comments: 11 pages

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

[3]  arXiv:2402.03831 [pdf, other]

Title: Soliton Management for ultrashort pulse: dark and anti-dark solitons of Fokas-Lenells equation with a damping like perturbation and a gauge equivalent spin system

Authors: Riki Dutta, Gautam K Saharia, Sagardeep Talukdar, Sudipta Nandy

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

[4]  arXiv:2402.04484 [pdf, other]

Title: Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion

Authors: María de los Santos Bruzón, Elena Recio, Tamara María Garrido, Rafael de la Rosa

Comments: 14 pages

Journal-ref: Discrete and Continuous Dynamical Systems - Series S, 13(10), 2691-2701, 2020

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

[5]  arXiv:2402.05341 [pdf, ps, other]

Title: Conservation laws for a generalized seventh order KdV equation

Authors: María de los Santos Bruzón, Almudena del Pilar Márquez, Tamara María Garrido, Elena Recio, Rafael de la Rosa

Comments: 12 pages

Journal-ref: Journal of Computational and Applied Mathematics, 354: 682-688, 2019

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

[6]  arXiv:2402.08352 [pdf, ps, other]

Title: Riemann--Hilbert method to the Ablowitz--Ladik equation: higher-order case

Authors: Huan Liu, Jing Shen, Xianguo Geng

Comments: 26 pages, 2 figures

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

[7]  arXiv:2402.08362 [pdf, other]

Title: Multiple higher-order poles solutions in spinor Bose-Einstein condensates

Authors: Huan Liu, Jing Shen, Xianguo Geng

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

[8]  arXiv:2402.09218 [pdf, ps, other]

Title: The Mumford Dynamical System and Hyperelliptic Kleinian Functions

Authors: Victor Buchstaber

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Dynamical Systems (math.DS)

[9]  arXiv:2402.11779 [pdf, ps, other]

Title: Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation

Authors: W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko

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

[10]  arXiv:2402.11888 [pdf, ps, other]

Title: The Volterra lattice, Abel's equation of the first kind, and the SIR epidemic models

Authors: Atsushi Nobe

Comments: 22 pages

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

[11]  arXiv:2402.12618 [pdf, ps, other]

Title: Nonlocal Symmetries of Two 2-component Equations of Camassa-Holm Type

Authors: Ziqi Li, Kai Tian

Comments: 18 pages

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

[12]  arXiv:2402.13128 [pdf, other]

Title: Non-local time evolution equation with singular integral and its application to traffic flow model

Authors: Kohei Higashi

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

[13]  arXiv:2402.13872 [pdf, other]

Title: Analytical and numerical studies for integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies

Authors: Qin-Ling Liu, Rui Guo, Ya-Hui Huang, Xin Li

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

[14]  arXiv:2402.14257 [pdf, other]

Title: The semi-discrete complex modified Korteweg-de Vries equation with zero and non-zero boundary conditions: Riemann-Hilbert approach and N-soliton solutions

Authors: Bo-Jie Deng, Rui Guo, Jian-Wen Zhang

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

[15]  arXiv:2402.15887 [pdf, other]

Title: On real and imaginary roots of generalised Okamoto polynomials

Authors: Pieter Roffelsen, Alexander Stokes

Comments: 48 pages, 14 figures

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

[16]  arXiv:2402.16191 [pdf, ps, other]

Title: Commutative Poisson algebras from deformations of noncommutative algebras

Authors: Alexander V. Mikhailov, Pol Vanhaecke

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

[17]  arXiv:2402.16206 [pdf, ps, other]

Title: Exact calculation of degrees for lattice equations: a singularity approach

Authors: Takafumi Mase

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

[18]  arXiv:2402.16975 [pdf, ps, other]

Title: The Mumford dynamical system and the Gelfand-Dikii recursion

Authors: Polina Baron

Journal-ref: Funktsional. Anal. i Prilozhen. 57:4 (2023), pp. 17-26 (in Russian)

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

[19]  arXiv:2402.17503 [pdf, ps, other]

Title: On the c-k constrained KP and BKP hierarchies: the Fermionic pictures, solutions and additional symmetries

Authors: Kelei Tian, Song Li, Ge Yi, Ying Xu, Jipeng Cheng

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

[20]  arXiv:2402.18079 [pdf, ps, other]

Title: The Neumann-Moser dynamical system and the Korteweg-de Vries hierarchy

Authors: Polina Baron

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

[21]  arXiv:2402.18310 [pdf, other]

Title: Deformed cluster maps of type $A_{2N}$

Authors: Jan E. Grabowski, Andrew N.W. Hone, Wookyung Kim

Comments: 40 pages

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Dynamical Systems (math.DS); Quantum Algebra (math.QA)

[22]  arXiv:2402.00373 (cross-list from math-ph) [pdf, ps, other]

Title: Solutions of the loop equations of a class of generalized Frobenius manifolds

Authors: Si-Qi Liu, Haonan Qu, Yuewei Wang, Youjin Zhang

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

[23]  arXiv:2402.00494 (cross-list from hep-th) [pdf, other]

Title: Quantum Analytic Langlands Correspondence

Authors: Davide Gaiotto, Jörg Teschner

Comments: 88 pages

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

[24]  arXiv:2402.00662 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: The spectral boundary of the Asymmetric Simple Exclusion Process (ASEP) -- free fermions, Bethe ansatz and random matrix theory

Authors: Goran Nakerst, Tomaž Prosen, Masudul Haque

Comments: 22 pages, 9 figures

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

[25]  arXiv:2402.02670 (cross-list from gr-qc) [pdf, ps, other]

Title: On the integrability of extended test body dynamics around black holes

Authors: Paul Ramond

Comments: 6 pages

Subjects: General Relativity and Quantum Cosmology (gr-qc); Exactly Solvable and Integrable Systems (nlin.SI)