Exactly Solvable and Integrable Systems

Authors and titles for nlin.SI in Dec 2022

[1]  arXiv:2212.00963 [pdf, ps, other]

Title: Yang-Baxter maps and independence preserving property

Authors: Makiko Sasada, Ryosuke Uozumi

Comments: 19 pages

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

[2]  arXiv:2212.01413 [pdf, ps, other]

Title: Hamiltonian systems of Jordan block type: delta-functional reductions of the kinetic equation for soliton gas

Authors: Pierandrea Vergallo, Evgeny V. Ferapontov

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

[3]  arXiv:2212.01646 [pdf, ps, other]

Title: Darboux transformation and soliton solutions of the generalized Sasa-Satsuma equation

Authors: Hong-Qian Sun, Zuo-Nong Zhu

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

[4]  arXiv:2212.01724 [pdf, ps, other]

Title: Jack polynomials, $\hbar$-dependent KP hierarchy and affine Yangian of ${\mathfrak{gl}}(1)$

Authors: Na Wang, Can Zhang, Ke Wu

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

[5]  arXiv:2212.02063 [pdf, other]

Title: Classification of semidiscrete hyperbolic type equations. The case of third order symmetries

Authors: R.N. Garifullin

Comments: 15 pages (in Russian)

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

[6]  arXiv:2212.02092 [pdf, ps, other]

Title: Inverse scattering method for nonlinear Klein--Gordon equation coupled with a scalar field

Authors: Mansur I. Ismailov, Cihan Sabaz

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

[7]  arXiv:2212.02786 [pdf, other]

Title: Solvable Limits of a class of generalized Vector Nonlocal Nonlinear Schrödinger equation with balanced loss-gain

Authors: Supriyo Ghosh, Pijush K. Ghosh

Comments: To appear in Physica Scripta

Journal-ref: Phys. Scr. 98 115214 (2023)

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

[8]  arXiv:2212.03432 [pdf, ps, other]

Title: Multiple soliton solutions and similarity reduction of a (2+1)-dimensional variable-coefficient Korteweg-de Vries system

Authors: Yaqing Liu, Linyu Peng

Comments: 23 pages, 7 figures

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

[9]  arXiv:2212.03679 [pdf, ps, other]

Title: On the full Kostant-Toda lattice and the flag varieties. I. The singular solutions

Authors: Yuancheng Xie

Comments: 23 pages

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

[10]  arXiv:2212.03751 [pdf, other]

Title: A focusing-defocusing intermediate nonlinear Schrödinger system

Authors: Bjorn K. Berntson, Alexander Fagerlund

Comments: 37 pages, 9 figures

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

[11]  arXiv:2212.06880 [pdf, ps, other]

Title: Hamiltonian structure of rational isomonodromic deformation systems

Authors: M. Bertola, J. Harnad, J. Hurtubise

Comments: V6. 46 pages. To comply with J. Math. Phys. formatting requirements, the abstract was reduced to one paragraph and the table of contents and highlighting of theorems were removed. Comparison comments were added after Theorems 3.2 and 3.3. The summation limits were made more explicit in eqs. (3.15), (3.17). Ref. [19] was corrected

Journal-ref: J. Math. Phys. 64, 083502 (2023)

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

[12]  arXiv:2212.07583 [pdf, ps, other]

Title: Frolicher structures, diffieties, and a formal KP hierarchy

Authors: Jean-Pierre Magnot, Enrique G. Reyes, Vladimir Rubtsov

Comments: To appear in Contemporary Mathematics (A.M. Vinogradov Memorial Volume)

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

[13]  arXiv:2212.08332 [pdf, ps, other]

Title: Data driven solutions and parameter discovery of the nonlocal mKdV equation via deep learning method

Authors: Jinyan Zhu, Yong Chen

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

[14]  arXiv:2212.08337 [pdf, ps, other]

Title: The long-time asymptotic of the derivative nonlinear Schr$\ddot{o}$dinger equation with step-like initial value

Authors: Lili Wen, Yong Chen, Jian Xu

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

[15]  arXiv:2212.08824 [pdf, other]

Title: Multi-point correlation functions in the boundary XXZ chain at finite temperature

Authors: Karol K. Kozlowski, Véronique Terras

Comments: 32 pages, V2 references added

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

[16]  arXiv:2212.09148 [pdf, ps, other]

Title: Full symmetric Toda system: QR-solution for complete DLNT-family

Authors: Yury B. Chernyakov, Georgy I. Sharygin, Dmitry V. Talalaev

Comments: 29 pages

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

[17]  arXiv:2212.11013 [pdf, other]

Title: Deformations of dispersionless Lax systems

Authors: Wojciech Kryński

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

[18]  arXiv:2212.11513 [pdf, other]

Title: On symmetric solutions of the fourth $q$-Painlevé equation

Authors: Nalini Joshi, Pieter Roffelsen

Comments: 27 pages, 7 figures. Parts of the text on the discrete symmetries $\mathcal{T}_{\pm}$ and their relation to the symmetry group updated, emphasising that both correspond to one and the same Dynkin diagram automorphism. The title of section 5 has been changed, typos have been fixed and other minor updates

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

[19]  arXiv:2212.13230 [pdf, ps, other]

Title: Integrable classes of a family of evolution equations

Authors: J.C. Ndogmo

Comments: 13 Pages

Journal-ref: J. Math. Phys. 63 (2022) 011510

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

[20]  arXiv:2212.13290 [pdf, ps, other]

Title: On integrability of the deformed Ruijsenaars-Schneider system

Authors: A. Zabrodin

Comments: Section 5 added, 23 pages, 1 figure

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

[21]  arXiv:2212.14348 [pdf, other]

Title: On the large-order asymtptics of Kuznetsov-Ma breathers

Authors: Liming Ling, Xiaoen Zhang

Comments: 29pages, 17 figures

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

[22]  arXiv:2212.14406 [pdf, other]

Title: The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation via the Moutard symmetries

Authors: Alla Yurova, Artyom Yurov, Valerian Yurov

Comments: 13 pages, 2 figures, 36 references. arXiv admin note: substantial text overlap with arXiv:1509.06078

Journal-ref: Symmetry 2020, 12(12), 211

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

[23]  arXiv:2212.14434 [pdf, other]

Title: On the Question of the Bäcklund Transformations and Jordan Generalizations of the Second Painlevé Equation

Authors: Artyom Yurov, Valerian Yurov

Comments: 13 pages, 56 references

Journal-ref: Symmetry 2021, 13(11), 2095

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

[24]  arXiv:2212.03316 (cross-list from nlin.PS) [pdf, ps, other]

Title: Hamiltonian form of extended cubic-quintic nonlinear Schrödinger equation in a nonlinear Klein-Gordon model

Authors: Yu.V. Sedletsky, I.S. Gandzha

Comments: 10 pages, 2 figures

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

[25]  arXiv:2212.12258 (cross-list from nlin.CG) [pdf, other]

Title: Asymptotic solution to a fuzzy elementary cellular automaton of rule number 38

Authors: Ko Yamamoto, Daisuke Takahashi

Comments: 7 pages, 3 figures

Subjects: Cellular Automata and Lattice Gases (nlin.CG); Exactly Solvable and Integrable Systems (nlin.SI)