39 citations · 63 across the 5 of their papers we have counts for
5 papers
Quantum corrections to static solutions of Nahm equation and Sin-Gordon models via generalized zeta-function
Sergey Leble
One-dimensional Yang-Mills Equations are considered from a point of view of a class of nonlinear Klein-Gordon-Fock models. The case of self-dual Nahm equations and non-self-dual mo…
Multiple scattering and electron-uracil collisions at low energies
Sergey Yalunin, Sergey B. Leble
Links between two well known methods: methods of zero-range and non-overlapped (muffin-tin) potentials are discussed. Some difficulties of the method of zero-range potentials and i…
Dressing chain equations associated to difference soliton systems
Sergei B. Leble
The dressing chain equations for factorizing operators of a spectral problem are derived. The chain equations itselves yield nonlinear systems which closure generates solutions of…
Division of Differential operators, intertwine relations and Darboux Transformations
Sergei B. Leble, A. A. Zaitsev
The problem of a differential operator left- and right division is solved in terms of generalized Bell polinomials for nonabelian differential unitary ring. The definition of the p…
Darboux-integrable nonlinear Liouville-von Neumann equation
Sergei B. Leble, Marek Czachor
A new form of a binary Darboux transformation is used to generate analytical solutions of a nonlinear Liouville-von Neumann equation. General theory is illustrated by explicit exam…