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)