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nlin.SI2023
Asymptotic soliton-like and asymptotic peakon-like solutions of the modified Camassa-Holm equation with variable coefficients and singular perturbation
Lorenzo Brandolese, Yuliia Samoilenko, Valerii Samoilenko
The paper deals with the construction of the asymptotic soliton-like and the asymptotic peakon-like solutions to the modified Camassa-Holm equation with variable coefficicents and…
math-ph2023
Asymptotic step-like solutions to the singularly perturbed Burgers' equation
Valerii Samoilenko, Yuliia Samoilenko, Elvira Zappale
The paper deals with a problem of asymptotic step-like solutions to the Burgers' equation with variable coefficients and a small parameter. By means of the non-linear WKB method, t…