Lyashko, S. I.; Samoilenko, V. H.; Samoilenko, Yu. I.; Lyashko, N. I. Stepwise asymptotic solutions to the Korteweg-de Vries equation with variable coefficients and a small parameter at the higher-order derivative. (English. Russian original) Zbl 1454.35321 Cybern. Syst. Anal. 56, No. 6, 934-942 (2020); translation from Kibern. Sist. Anal. 2020, No. 6, 86-95 (2020). MSC: 35Q53 35C08 35B40 35B25 PDFBibTeX XMLCite \textit{S. I. Lyashko} et al., Cybern. Syst. Anal. 56, No. 6, 934--942 (2020; Zbl 1454.35321); translation from Kibern. Sist. Anal. 2020, No. 6, 86--95 (2020) Full Text: DOI
Samoilenko, Valerii; Samoilenko, Yuliia Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients. (English) Zbl 1406.35335 J. Math. Phys. 60, No. 1, 011501, 13 p. (2019). MSC: 35Q53 35G50 35C08 35B40 35A01 76B15 PDFBibTeX XMLCite \textit{V. Samoilenko} and \textit{Y. Samoilenko}, J. Math. Phys. 60, No. 1, 011501, 13 p. (2019; Zbl 1406.35335) Full Text: DOI arXiv
Samoilenko, V. H.; Samoilenko, Yu. I. Asymptotic \(\Sigma\)-solutions of a singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients. (English. Ukrainian original) Zbl 1428.35465 Ukr. Math. J. 70, No. 2, 266-287 (2018); translation from Ukr. Mat. Zh. 70, No. 2, 236-254 (2018). MSC: 35Q53 35B40 35B25 PDFBibTeX XMLCite \textit{V. H. Samoilenko} and \textit{Yu. I. Samoilenko}, Ukr. Math. J. 70, No. 2, 266--287 (2018; Zbl 1428.35465); translation from Ukr. Mat. Zh. 70, No. 2, 236--254 (2018) Full Text: DOI
Samoilenko, V. H.; Samoilenko, Yu. I. Two-phase solitonlike solutions of the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients. (English. Ukrainian original) Zbl 1309.35116 Ukr. Math. J. 65, No. 11, 1681-1697 (2014); translation from Ukr. Mat. Zh. 65, No. 11, 1515-1530 (2013). MSC: 35Q53 35C08 35B40 PDFBibTeX XMLCite \textit{V. H. Samoilenko} and \textit{Yu. I. Samoilenko}, Ukr. Math. J. 65, No. 11, 1681--1697 (2014; Zbl 1309.35116); translation from Ukr. Mat. Zh. 65, No. 11, 1515--1530 (2013) Full Text: DOI
Samoylenko, Valerii; Samoylenko, Yuliya Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions. (English. Ukrainian original) Zbl 1308.35282 J. Math. Sci., New York 187, No. 1, 70-76 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 237-245 (2012). MSC: 35Q55 35Q53 47G30 35B25 35C20 PDFBibTeX XMLCite \textit{V. Samoylenko} and \textit{Y. Samoylenko}, J. Math. Sci., New York 187, No. 1, 70--76 (2012; Zbl 1308.35282); translation from Ukr. Mat. Visn. 9, No. 2, 237--245 (2012) Full Text: DOI
Samoilenko, V. H.; Samoilenko, Yu. I. Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients. (English. Russian original) Zbl 1257.35167 Ukr. Math. J. 64, No. 7, 1109-1127 (2012); translation from Ukr. Mat. Zh. 64, No. 7, 988-993 (2012). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{V. H. Samoilenko} and \textit{Yu. I. Samoilenko}, Ukr. Math. J. 64, No. 7, 1109--1127 (2012; Zbl 1257.35167); translation from Ukr. Mat. Zh. 64, No. 7, 988--993 (2012) Full Text: DOI