26 citations · 50 across the 4 of their papers we have counts for
5 papers
Group analysis of a class of nonlinear Kolmogorov equations
Olena Vaneeva, Yuri Karadzhov, Christodoulos Sophocleous
A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The comple…
Three-dimensional Matrix Superpotentials
Yuri Karadzhov
This article considers the classification of matrix superpotentials that corresponds to exactly solvable systems of Schrodinger equations. Superpotentials of the following form are…
Generic matrix superpotentials
Anatoly G. Nikitin, Yuri Karadzhov
A simple and algorithmic description of matrix shape invariant potentials is presented. The complete lists of generic matrix superpotentials of dimension and of special…
Matrix Superpotential Linear in Variable Parameter
Yuri Karadzhov
The paper presents the classification of matrix valued superpotentials corresponding to shape invariant systems of Schrödinger equations. All inequivalent irreducible matrix superp…
Matrix superpotentials
A. G. Nikitin, Yuri Karadzhov
We present a collection of matrix valued shape invariant potentials which give rise to new exactly solvable problems of SUSY quantum mechanics. It includes all irreducible matrix s…