Barannyk, A. F.; Barannyk, T. A.; Yuryk, I. I. On exact solutions of the nonlinear heat equation. (English) Zbl 1424.35199 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 5, 11-17 (2019). MSC: 35K05 PDFBibTeX XMLCite \textit{A. F. Barannyk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2019, No. 5, 11--17 (2019; Zbl 1424.35199) Full Text: DOI
Barannyk, Anatoliy F.; Barannyk, Tetyana A.; Yuryk, Ivan I. On hidden symmetries and solutions of the nonlinear d’Alembert equation. (English) Zbl 1277.35026 Commun. Nonlinear Sci. Numer. Simul. 18, No. 7, 1589-1599 (2013). MSC: 35B06 35L71 PDFBibTeX XMLCite \textit{A. F. Barannyk} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 7, 1589--1599 (2013; Zbl 1277.35026) Full Text: DOI Link
Barannyk, A. F.; Barannyk, T. A.; Yuryk, I. I. On the exact solutions of a nonlinear wave equation. (Ukrainian. English summary) Zbl 1142.35355 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 10, 7-15 (2007). MSC: 35C05 35L70 PDFBibTeX XMLCite \textit{A. F. Barannyk} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 10, 7--15 (2007; Zbl 1142.35355)
Barannyk, A. F.; Yuryk, L. L. On the Lie solutions of a nonlinear diffusion equation which cannot be represented via elementary functions. (Ukrainian. English summary) Zbl 1114.35311 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 12, 7-11 (2006). MSC: 35C05 35K57 58J70 PDFBibTeX XMLCite \textit{A. F. Barannyk} and \textit{L. L. Yuryk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 12, 7--11 (2006; Zbl 1114.35311)
Barannyk, A. F.; Yuryk, I. I. Construction of exact solutions of diffusion equation. (English) Zbl 1094.35032 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 29-33 (2004). Reviewer: N. M. Ivanova (Kyïv) MSC: 35C05 35K57 35A30 35A22 PDFBibTeX XMLCite \textit{A. F. Barannyk} and \textit{I. I. Yuryk}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 29--33 (2004; Zbl 1094.35032)
Barannyk, A. F.; Juryk, I. I. On exact solutions to the equation \( u_{00} = u\Delta u\). (Ukrainian) Zbl 0937.35139 Nelinijni Kolyvannya 1998, No. 2, 3-7 (1998). Reviewer: Vladislav A. Martynyuk (Kyïv) MSC: 35Q35 76Q05 35C05 PDFBibTeX XMLCite \textit{A. F. Barannyk} and \textit{I. I. Juryk}, Neliniĭni Kolyvannya 1998, No. 2, 3--7 (1998; Zbl 0937.35139)
Barannyk, A. F.; Yuryk, I. I. On exact solutions of the equation \(\square u +\lambda uu_0=0\). (Ukrainian) Zbl 0936.35132 Dopov. Akad. Nauk Ukr. 1999, No. 5, 7-9 (1999). Reviewer: I.O.Parasyuk (Kyïv) MSC: 35Q35 76N15 35C05 PDFBibTeX XMLCite \textit{A. F. Barannyk} and \textit{I. I. Yuryk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1999, No. 5, 7--9 (1998; Zbl 0936.35132)
Barannyk, A. F.; Moskalenko, Ju. D. Conditional symmetry and exact solutions of the multidimensional nonlinear d’Alembert equation. (English) Zbl 0949.35136 J. Nonlinear Math. Phys. 3, No. 3-4, 336-340 (1996). Reviewer: A. A. Martynyuk (Kyïv) MSC: 35Q72 PDFBibTeX XMLCite \textit{A. F. Barannyk} and \textit{Ju. D. Moskalenko}, J. Nonlinear Math. Phys. 3, No. 3--4, 336--340 (1996; Zbl 0949.35136) Full Text: DOI