36 citations · 53 across the 3 of their papers we have counts for
3 papers
nlin.SI2007★ 11 cited
Nonisospectral integrable nonlinear equations with external potentials and their GBDT solutions
Alexander Sakhnovich
Auxiliary systems for matrix nonisospectral equations, including coupled NLS with external potential and KdV with variable coefficients, were introduced. Explicit solutions of noni…
math-ph2007★ 6 cited
Weyl functions, inverse problem and special solutions for the system auxiliary to the nonlinear optics equation
Alexander Sakhnovich
A Borg-Marchenko type uniqueness theorem (in terms of the Weyl function) is obtained here for the system auxiliary to the N-wave equation. A procedure to solve inverse problem is u…
math.SP2004★ 36 cited
Discrete skew selfadjoint canonical systems and the isotropic Heisenberg magnet model
M. A. Kaashoek, A. L. Sakhnovich
A discrete analog of a skew selfadjoint canonical (Zakharov-Shabat or AKNS) system with a pseudo-exponential potential is introduced. For the corresponding Weyl function the direct…