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A formula for symmetry recursion operators from non-variational symmetries of partial differential equations

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2021; 111 (3)

An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational......

Magnetic impurities, integrable vortices and the Toda equation

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2021; 111 (4)

The five integrable vortex equations, recently studied by Manton, are generalized to include magnetic impurities of the Tong-Wong type. Under certain ......

The Fermi gerbe of Weyl semimetals

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2021; 111 (3)

In the gap topology, the unbounded self-adjoint Fredholm operators on a Hilbert space have third homotopy group the integers. We realise the generator......

On tensor product decomposition of positive representations of Uq(q)over-tilde(sl(2, R))

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2021; 111 (2)

We study the tensor product decomposition of the split real quantum group U-q (q) over tilde (sl(2, R)) from the perspective of finite-dimensional rep......

Solutions of super Knizhnik-Zamolodchikov equations

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (7)

We establish an explicit bijection between the sets of singular solutions of the (super) KZ equations associated with the Lie superalgebra, of infinit......

On the dispersionless Davey-Stewartson system: Hamiltonian vector field Lax pair and relevant nonlinear Riemann-Hilbert problem for dDS-II system

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (3)

In this paper, the semiclassical limit of Davey-Stewartson system is studied. It shows that the dispersionless limited integrable system of hydrodynam......

Conformal classical Yang-Baxter equation, S-equation and O-operators

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (5)

Conformal classical Yang-Baxter equation and S-equation naturally appear in the study of Lie conformal bialgebras and left-symmetric conformal bialgeb......

Variational representations related to Tsallis relative entropy

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (8)

We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations relat......

Frobenius manifolds and a new class of extended affine Weyl groups of A-type

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (7)

We present a newclass of extended affineWeyl groups similar to W(k,k+1)( Al) for 1 = k < l and obtain an analogue of Chevalley-type theorem for the......

Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (10)

We conjecture a closed-form expression of HOMFLY-PT invariants of double twist knots colored by rectangular Young diagrams where the twist is encoded ......

Full colored HOMFLYPT invariants, composite invariants and congruence skein relations

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2020; 110 (12)

In this paper, we investigate the properties of certain quantum invariants of links by using the HOMFLY skein theory. First, we obtain the limit behav......

On the problem of splitting deformations of super Riemann surfaces

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2019; 109 (2)

An odd deformation of a super Riemann surface S is a deformation of S by variables of odd parity. In this article, we study the obstruction theory of ......

JIF:1.2

The Baker-Campbell-Hausdorff formula via mould calculus

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2019; 109 (3)

The well-known Baker-Campbell-Hausdorff theorem in Lie theory says that the logarithm of a noncommutative product eXeY can be expressed in terms of it......

JIF:1.2

Rogue waves in the nonlocal PT-symmetric nonlinear Schrodinger equation

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2019; 109 (4)

Rogue waves in the nonlocal PT-symmetric nonlinear Schrodinger (NLS) equation are studied by Darboux transformation. Three types of rogue waves are de......

JIF:1.2

Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies

期刊: LETTERS IN MATHEMATICAL PHYSICS, 2019; 109 (12)

We give a general method to compute the expansion of topological tau functions for Drinfeld-Sokolov hierarchies associated with an arbitrary untwisted......

JIF:1.2

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