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math-ph2026
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…
math-ph2022
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…
math-ph2018
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…