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Published
works
A.L.
Sakhnovich, L.A. Sakhnovich and I.Ya. Roitberg,
Inverse
problems and nonlinear evolution equations. Solutions, Darboux
matrices and Weyl-Titchmarsh functions.
De Gruyter Studies in
Mathematics 47, de Gruyter, Berlin, 2013. XIV+341 pp.
B.
Fritzsche, B. Kirstein, I.Ya. Roitberg and A.L. Sakhnovich,
Discrete Dirac system: rectangular Weyl functions, direct and
inverse problems.
Oper. Matrices 8:3 (2014) 799—819.
J.
Eckhardt, F. Gesztesy, R. Nichols, A. Sakhnovich
and G.
Teschl,
Inverse Spectral Problems for Schrödinger-Type
Operators with Distributional Matrix-Valued Potentials.
Differential Integral Equations 28:5-6 (2015) 505--522.
A.L.
Sakhnovich and L.A. Sakhnovich,
Nonlinear Fokker-Planck
equation: stability, distance and corresponding extremal problem
in the spatially inhomogeneous case.
In: Oper. Theory Adv.
Appl. 244, 379--394, 2015.
B.
Fritzsche, B. Kirstein, I.Ya. Roitberg and A.L. Sakhnovich,
Pseudo-exponential-type solutions of wave equations depending
on several variables.
SIGMA 11 (2015) 010, 13 pp.
A.L.
Sakhnovich,
Nonlinear Schrödinger equation in a semi-strip:
evolution of the Weyl-Titchmarsh function and recovery of the
initial condition and rectangular matrix solutions from the
boundary conditions,
J. Math. Anal. Appl. 423:1 (2015),
746—757.
A.L.
Sakhnovich,
Inverse problem for Dirac systems with locally
square-summable potentials and rectangular Weyl functions.
J.
Spectr. Theory 5:3
(2015)
547–569.
A.L.
Sakhnovich,
Generalized Bäcklund--Darboux transformation
(GBDT): conservation laws, rational extensions and bispectrality.
Journal
of Physics: Conference Series 621
(2015) 012013.
A.L.
Sakhnovich, Dynamical and spectral Dirac
systems: response function and inverse problems. J.
Math. Phys. 56:11
(2015)
112702, 13 pp.
A.L.
Sakhnovich,
Initial value problems for integrable systems on a
semi-strip.
SIGMA
Symmetry Integrability Geom. Methods Appl. 12
(2016)
Paper 001, 17 pp.
B.
Fritzsche, M.A. Kaashoek, B. Kirstein
and A.L. Sakhnovich,
Skewselfadjoint Dirac systems with rational rectangular Weyl
functions: explicit solutions of direct and inverse problems and
integrable wave equations. Math. Nachr. 289:
14-15 (2016) 1792--1819
A.L.
Sakhnovich, Evolution of Weyl functions and initial-boundary value
problems (survey). Math. Model. Nat. Phenom. 11:2 (2016) 111--132
Other
publications
Several
submitted papers (as well as the already published papers cited
above) may be found in arXiv.
For
conference abstracts see the list of conferences
in Further
Activities
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