3 papers
math-ph2026
Feynman's linear divergence problem
Alexander Sakhnovich, Lev Sakhnovich
First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the cor…
nlin.SI2025
GBDT with nontrivial seeds: explicit solutions of the focusing NLS equations and the corresponding Weyl functions
Alexander Sakhnovich
Our GBDT (generalised Bäcklund-Darboux transformation) approach is used to construct explicit solutions of the focusing nonlinear Schrödinger (NLS) equation in the case of the ex…
math.CA2025
GBDT, multiplicative integrals and linear similarity
Alexander Sakhnovich
A GBDT version of the Bäcklund-Darboux transformation for a non-isospectral canonical system is considered. Applications to multiplicative integrals and their limit values, to cha…