110 citations · 546 across the 39 of their papers we have counts for
39 papers
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…
Changing the discrete spectrum of the half-line matrix Schrödinger operator
Tuncay Aktosun, Ricardo Weder
We consider the matrix-valued Schrödinger operator on the half line with the general selfadjoint boundary condition. When the discrete spectrum is changed without changing the cont…
Inverse scattering problem for the third-order equation on the line
Tuncay Aktosun, Ivan Toledo, Mehmet Unlu
We consider the third-order linear differential equation where the complex-…
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…
The transformations to remove or add bound states for the half-line matrix Schrödinger operator
Tuncay Aktosun, Ricardo Weder
We present the transformations to remove or add bound states or to decrease or increase the multiplicities of any existing bound states for the half-line matrix-valued Schrödinger…