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math-ph2026
Soliton-like solutions of the Camassa--Holm equation with variable coefficients and a small dispersion
Yuliia Samoilenko, Valerii Samoilenko
The paper deals with the Camassa--Holm equation with variable coefficients (vcCH equation) that is a direct generalization of the well known Camassa--Holm equation. We focus on the…
math-ph2018
Existence of solutions to non-homogeneous higher order differential equation in the Schwartz space
Valerii H. Samoilenko, Yuliia I. Samoilenko
There is studied problem on existence of solutions to non-homogeneous differential equation of higher even order. Similar problem arises while studying soliton and soliton-like sol…