2017
Том 69
№ 6

All Issues

Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients

Samoilenko V. G., Samoilenko Yu. I.

Full text (.pdf)


Abstract

We describe a set of initial conditions for which the Cauchy problem for a singularly perturbed Korteweg–de-Vries equation with variable coefficients has an asymptotic two-phase solitonlike solution. The notion of the manifold of initial data of the Cauchy problem for which this solution exists is proposed.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 11, pp 1681-1697.

Citation Example: Samoilenko V. G., Samoilenko Yu. I. Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients // Ukr. Mat. Zh. - 2013. - 65, № 11. - pp. 1515–1530.

Full text