5 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 con…
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 comp…
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…