30 citations · 35 across the 3 of their papers we have counts for
3 papers
Zakharov-Shabat system and hyperbolic pseudoanalytic function theory
Viktor G. Kravchenko, Vladislav V. Kravchenko, Sébastien Tremblay
In [1] a hyperbolic analogue of pseudoanalytic function theory was developed. In the present contribution we show that one of the central objects of the inverse problem method the…
Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics
Viktor G. Kravchenko, Vladislav V. Kravchenko
We consider the following first order systems of mathematical physics. 1.The Dirac equation with scalar potential. 2.The Dirac equation with electric potential. 3.The Dirac equatio…
On a quaternionic generalisation of the Riccati differential equation
Viktor Kravchenko, Vladislav Kravchenko, Benjamin Williams
A quaternionic partial differential equation is shown to be a generalisation of the Riccati ordinary differential equation and its relationship with the Schrodinger equation is est…