2 citations · 2 across the 5 of their papers we have counts for
6 papers
Darboux Transformation for the Non-stationary Shrödinger Equation
E. Sh. Gutshabash
The Lax representation for the nonstationary Schrödinger equation with rather arbitrary potential is proposed. Some examples of the construction of exact solutions are given by mea…
Generalized Darboux Transform in the Ishimori magnet model on the background of spiral structures
E. Sh. Gutshabash
The integration procedure based on the the generalized Darboux transform is suggested for the Ishimori magnet model. Exact solutions are constructed for the model of background of…
Two approaches for Helmholtz equation: generalized Darboux Trasformation and the method of d-bar problem
E. Sh. Gutshabash
Two approaches to solution of the two-dimensional Helmholtz equation with a "wave number" are proposed. The results can be applied both in numerical areas of physics and in the the…
Some notes on Ishimori's magnet model
E. Sh. Gutshabash
Gauge transformation properties for an associated linear system of model Ishimori's magnet model have been discussed. Explicit formulas for the gauge transformation matrix have bee…
Exact Solutions and hypothesis on Phase Transition in the Polyelectrolite Model of DNA
E. Sh. Gutshabash
The two-dimensional generalization of the Polyelectolite model of DNA is proposed. It is reduced to the boundary problem for nonlinear completely integrable equation -Gordon.…
(2+0)-Dimensional Integrable Equations and Exact Solutions
E. Sh. Gutshabash, V. D. Lipovskii, S. S. Nikulichev
We propose a nonlinear -model in a curved space as a general integrable elliptic model. We construct its exact solutions and obtain energy estimates near the critical point. We…