5 citations · 11 across the 7 of their papers we have counts for
10 papers
On integration of the closed KdV dressing chain
Yurij Brezhnev, Sergey Leble
The dressing chain equations for the second order Sturm-Liouville differential operators is integrated. The simplest closure at the third step is linked to the spectral curve of th…
Polarization mode interaction equations in optical fibers with Kerr effect
S. B. Leble, B. Reichel
We derive coupled nonlinear Schrödinger equation (CNLSE) for arbitrary polarized light propagation in a single-mode fiber. We introduce a basis of transverse eigen modes with the a…
Sound velocity and acoustic nonlinearity parameter for fluids. Thermodynamic premises
Sergey Leble, Anna Perelomova, Magdalena Kusmirek-Ochrymiuk
New theoretical formulae of the sound velocity and the B/A nonlinearity parameter for some fluids are presented in the paper. Semi--ideal and van der Waals models of gas are consid…
Covariant forms of Lax one-field operators: from Abelian to non-commutative
Sergey Leble
Links of factorization theory, supersymmetry and Darboux transformations as isospectral deformations are considered in the context of quantum theory. The infinite chain equations f…
Analytical and numerical solution of a coupled KdV-MKdV system
A. A. Halim, S. B. Leble
The matrix 2x2 spectral differential equation of the second order is considered on x in (). We establish elementary Darboux transformations covariance of the probl…
Analytical and numerical solution of coupled KdV-MKdV system
A. Halim, S. Kshevetskii, S. Leble
The matrix 2x2 spectral differential equation of the second order is considered on x in (). We establish elementary Darboux transformations covariance of the probl…