6 citations · 7 across the 6 of their papers we have counts for
6 papers
The Marchenko method for soliton solutions to the Sawada--Kotera equation
Tuncay Aktosun, Ramazan Ercan, Ivan Toledo +1
Associated with the third-order linear differential operator, we present the Marchenko integral equation using as input the bound-state poles of a transmission coefficient and the…
Inverse scattering for the linear system associated with the coupled Gerdjikov--Ivanov equations
Ramazan Ercan
We consider a certain first-order linear system of ordinary differential equations, and we analyze the direct and inverse scattering problems for that linear system. The linear sys…
The Marchenko method to solve the general system of derivative nonlinear Schrödinger equations
Tuncay Aktosun, Ramazan Ercan, Mehmet Unlu
A system of linear integral equations is presented, which is the analog of the system of Marchenko integral equations, to solve the inverse scattering problem for the linear system…
The generalized Marchenko method in the inverse scattering problem for a first-order linear system
T. Aktosun, R. Ercan
The Marchenko method is developed in the inverse scattering problem for a linear system of first-order differential equations containing potentials proportional to the spectral par…
Direct and inverse scattering problems for the first-order discrete system associated with the derivative NLS system
T. Aktosun, R. Ercan
The direct and inverse scattering problems are analyzed for a first-order discrete system associated with the semi-discrete version of the derivative NLS system. The Jost solutions…
Direct and inverse scattering problems for a first-order system with energy-dependent potentials
Tuncay Aktosun, Ramazan Ercan
The direct and inverse scattering problems on the full line are analyzed for a first-order system of ordinary linear differential equations associated with the derivative nonlinear…