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NONWANDERING CONTINUUM POSSESSING THE WADA PROPERTY

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 207 (3)

Dynamic systems acting on the plane and possessing the Wada property have been observed. There exist only two topological types, symmetric and antisym......

Finite-dimensional tau functions of the universal character hierarchy

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 206 (3)

Using the so-called Schubert decomposition, we present a finite-dimensional twisted description of the tau functions of the universal character (UC ) ......

Integrable symplectic maps via reduction of Backlund transformation

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 208 (1)

We discuss the stationary potential equations as illustrative examples to explain how to construct integrable symplectic maps via Backlund transformat......

Novikov equation: Backlund transformation and applications

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 206 (2)

For the Novikov equation, we construct and study a Backlund transformation containing both independent and dependent variables. We use the reciprocal ......

RIEMANN-HILBERT PROBLEM FOR THE KUNDU-TYPE NONLINEAR SCHRODINGER EQUATION WITH N DISTINCT ARBITRARY-ORDER POLES

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 207 (1)

We use the Riemann-Hilbert (RH) method to study the Kundu-type nonlinear Schrodinger (Kundu-NLS) equation with a zero boundary condition in the case w......

Pure soliton solutions of the nonlocal Kundu-nonlinear Schrodinger equation

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 206 (1)

We systematically present an inverse scattering transform for a nonlocal reverse-space higher-order nonlinear Schrodinger equation with nonzero bounda......

LIE SYMMETRY, NONLOCAL SYMMETRY ANALYSIS, AND INTERACTION OF SOLUTIONS OF A (2+1)-DIMENSIONAL KDV-MKDV EQUATION

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 206 (2)

We use the method of Lie symmetry analysis to investigate the properties of a (2+1)-dimensional KdV-mKdV equation. Using the Ibragimov method, which r......

Spin nonclassicality via variance

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 208 (1)

Although variance, as one of the most fundamental and ubiquitous quantities in quantifying uncertainty, has been widely used in both classical and qua......

MULTI-COMPONENT TODA LATTICE IN CENTRO-AFFINE R-n

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 207 (3)

We use the group-based discrete moving frame method to study invariant evolutions in a n-dimensional centro-affine space. We derive the induced integr......

Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 206 (2)

By including spectral functions, we obtain nonlocal symmetries equivalent to Lie point symmetries of the corresponding extended systems for the Boussi......

MULTICOMPONENT FRACTIONAL VOLTERRA HIERARCHY AND ITS SUBHIERARCHY WITH VIRASORO SYMMETRY

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 207 (1)

Using the Hamiltonian structures and tau symmetries, we construct a multicomponent fractional Volterra hierarchy (MFVH) as an example of a generalized......

q-UNIVERSAL CHARACTERS AND AN EXTENSION OF THE LATTICE q-UNIVERSAL CHARACTERS

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2021; 208 (1)

We consider two different subjects: the q-deformed universal characters (S) over tilde ([lambda,mu])(t, (t) over cap; x, (x) over cap) and the q-defor......

Adiabatic Invariants of Herglotz Type for Perturbed Nonconservative Lagrangian Systems

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2020; 202 (1)

Both conservative and nonconservative systems can be studied simultaneously using the differential variational principle of Herglotz type. For a pertu......

Skew Information Revisited: Its Variants and a Comparison of Them

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2020; 202 (1)

Skew information was introduced by Wigner and Yanase in the context of quantum measurements. It was later recognized that skew information in addition......

Discrete Crum's Theorems and Lattice KdV-Type Equations

期刊: THEORETICAL AND MATHEMATICAL PHYSICS, 2020; 202 (2)

We develop Darboux transformations (DTs) and their associated Crum's formulas for two Schrodinger-type difference equations that are themselves discre......

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