14 citations · 16 across the 10 of their papers we have counts for
11 papers
Inverse scattering method for nonlinear negative first order coupled Klein-Gordon equation
Cihan Sabaz, Ilmar Gahramanov, Mansur I. Ismailov
The exact N-soliton solutions are derived for the coupled negative first order Klein-Gordon (CNKG) equation subject to vanishing boundary conditions by using the inverse scattering…
Boundary null controllability of the heat equation with Wentzell boundary condition and Dirichlet control
S. E. Chorfi, M. I. Ismailov, L. Maniar +1
We consider the linear heat equation with a Wentzell-type boundary condition and a Dirichlet control. Such a boundary condition can be reformulated as one of dynamic type. First, w…
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
Mansur I. Ismailov, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation poi…
Inverse scattering method via Gel'fand--Levitan--Marchenko equation for some negative order nonlinear wave equations
Mansur I. Ismailov, Cihan Sabaz
A class of negative order Ablowitz--Kaup--Newell--Segur nonlinear evolution equations are obtained by applying the Lax hierarchy of the first order linear system of three equations…
Inverse scattering transform for N-wave interaction problem with a dispersive term in two spatial dimensions
Mansur I Ismailov
In this work, we introduce a dispersive N(=2n)-wave interaction problem involving n velocities in two spatial dimensions and one temporal dimension. Exact solutions of the problem…
Inverse Problem of Finding the Coefficient of the Lowest Term in Two-dimensional Heat Equation with Ionkin-type Boundary Condition
Mansur I. Ismailov, Sait Erkovan
We consider an inverse problem of determining the time-dependent lowest order coefficient of two-dimensional (2D) heat equation with Ionkin boundary and total energy integral overd…
Inverse source problem for a time-fractional heat equation with generalized impedance boundary condition
M. Cicek, M. I. Ismailov
The paper considers an inverse source problem for a one-dimensional time-fractional heat equation with the generalized impedance boundary condition. The inverse problem is the time…
Inverse scattering problem on the half-axis for a first order system of ordinary differential equations
Mansur I. Ismailov
In this article, the inverse scattering problem (ISP) of recovering the matrix coefficient of a first order system of ordinary differential equations on the half-axis from its scat…
Direct and Inverse Problems for the Heat Equation with a Dynamic type Boundary Condition
Nazim B. Kerimov, Mansur I. Ismailov
This paper considers the initial-boundary value problem for the heat equation with a dynamic type boundary condition. Under some regularity, consistency and orthogonality condition…
Inverse Problem of Finding the Time-dependent Coefficient of Heat Equation from Integral Overdetermination Condition Data
Mansur I. Ismailov, Fatma Kanca
In this paper we consider the problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional heat equation in the…
A nonlinear evolution equation with 2 + 1 dimensions related to nonstationary Dirac-type system
Mansur I Ismailov
In this paper the inverse scattering problem for the nonstationary Dirac-type system on the whole plane was considered. A nonlinear evolution sytem of equation related to nonstatio…