Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation by Wenjuan Rui, Yufeng Zhang

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Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism by Z. Alizadeh, H. Panahi

“…We construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to Mielnik’s and Marquette’s construction in supersymmetric quantum mechanics. …”
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Shift-invariant measures on infinite-dimensional spaces: Integrable functions and random walks by V.Zh. Sakbaev, D.V. Zavadsky

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Integrable 2D Time-Irreversible Systems with a Cubic Second Integral by H. M. Yehia, A. A. Elmandouh

“…We construct a very rare integrable 2D mechanical system which admits a complementary integral of motion cubic in the velocities in the presence of conservative potential and velocity-dependent (gyroscopic) forces. …”
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Checkerboard CFT by Mikhail Alfimov, Gwenaël Ferrando, Vladimir Kazakov, Enrico Olivucci

Subjects: “…Integrable Field Theories…”
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Highly-enhanced propagation of long-range kinks in heterogeneous media by Jorge A. González, Alberto Bellorín, Luis E. Guerrero, Salvador Jiménez, Juan F. Marín

Subjects: “…Integrable Field Theories…”
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TBA equations and quantum periods for D-type Argyres-Douglas theories by Katsushi Ito, Jingjing Yang

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Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System by Jing Yu, Jingwei Han

“…By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and r-matrix are also given in this paper.…”
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Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation by Binlu Feng, Yufeng Zhang

“…Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. …”
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Three-point functions in Aharony-Bergman-Jafferis-Maldacena theory and integrable boundary states by Jun-Bao Wu, Peihe Yang

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JT gravity, KdV equations and macroscopic loop operators by Kazumi Okuyama, Kazuhiro Sakai

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Algebraic classification of Hietarinta’s solutions of Yang-Baxter equations: invertible 4 × 4 operators by Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan, Vladimir Korepin

Subjects: “…Lattice Integrable Models…”
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On generalized Macdonald polynomials by A. Mironov, A. Morozov

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General boundedness theorems to some second order nonlinear differential equation with integrable forcing term by Allan Kroopnick

Subjects: “…integrable forcing term…”
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Prolongations of F-structure to the tangent bundle of order 2 by Lovejoy S. Das

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The power mean and the logarithmic mean by Christopher Olutunde Imoru

Subjects: “…space of Lebesque μ-integrable functions.…”
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The Bi-Integrable Couplings of Two-Component Casimir-Qiao-Liu Type Hierarchy and Their Hamiltonian Structures by Juhui Zhang, Yuqin Yao

“…Particularly, a new completely integrable two-component Casimir-Qiao-Liu type equation (2-CQLTE) is presented. …”
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Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation by Yali Shen, Ruoxia Yao

“…A determinant representation of the n-fold Darboux transformation for the integrable nonlocal derivative nonlinear Schödinger (DNLS) equation is presented. …”
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A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation by Xi-Xiang Xu, Meng Xu

“…Hamiltonian structure of obtained integrable family is established. Liouville integrability for the obtained family of discrete Hamiltonian systems is proved. …”
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Models of Integrated Acute Care for Older Adult Inpatients That Incorporate Integrative Health: An Integrative Review by Bonvin E, Perruchoud E, Tacchini-Jacquier N, Perrenoud J, Melly P, Celik S, Jean M, Verloo H

Subjects: “…integrated care…”
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