5 papers
On the Hurwitz Stability of Hurwitz-Type Matrix Polynomials
Abdon E. Choque-Rivero
Every matrix polynomial admits a decomposition of the form \[ {\mathbf f}_n(z)={\mathbf h}_n(z^2)+z\,{\mathbf g}_n(z^2). \] The matrix polynomial …
Factorization for the matrix-valued general Jacobi system on the full-line lattice
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou +2
The Jacobi system with matrix-valued coefficients and with the spectral parameter depending on a matrix-valued weight factor is considered on the full-line lattice. The scattering…
Soliton solutions to the Sawada--Kotera equation
Tuncay Aktosun, Abdon E. Choque-Rivero, Ivan Toledo +1
We consider the direct and inverse scattering problems for the third-order differential equation in the reflectionless case. We formulate a corresponding Riemann--Hilbert problem u…
Dynamic inverse problem for the one-dimensional system with memory
A. E. Choque-Rivero, A. S. Mikhaylov, V. S. Mikhaylov
We study the inverse dynamic problem of recoverying the potential in the one-dimensional dynamical system with memory. The Gelfand--Levitan equations are derived for the kernel of…
Soliton solutions associated with a class of third-order ordinary linear differential operators
Tuncay Aktosun, Abdon E. Choque-Rivero, Ivan Toledo +1
Explicit solutions to the related integrable nonlinear evolution equations are constructed by solving the inverse scattering problem in the reflectionless case for the third-order…