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nlin.SI2026
The \texorpdfstring{-soliton}{N-soliton} solution formula for the Kaup--Kupershmidt equation
Tuncay Aktosun, Ramazan Ercan, Mehmet Unlu
An explicit formula is presented for the -soliton solution to the Kaup--Kupershmidt equation, for any positive integer by using the input data set consistin…
nlin.SI2026
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…
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…