5 citations · 11 across the 7 of their papers we have counts for
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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…
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…
On multisolitonic decay behavior of internal gravity waves
A. Halim, S. Kshevetskii, S. Leble
We claim that changes of scales and fine-structure could increase from multisoliton behavior of internal waves dynamics and, further, in the so-called "wave mixing". We consider in…