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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…
Inverse scattering method for an integrable system of derivative nonlinear Schrödinger equations
Mehmet Unlu
We present a solution method for the integrable system (derivative nonlinear Schrödinger II system) or the Chen--Lee--Liu system. This is done by presenting a solution technique fo…
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-…