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nlin.SI2025
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…
nlin.SI2025
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…