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......
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 ......
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......
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......
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......
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......
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......
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......
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......
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 ......
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......
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 ......
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......
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......
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......