Kudryashov, Nikolay A. Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. (English) Zbl 1433.35367 Appl. Math. Comput. 371, Article ID 124972, 11 p. (2020). MSC: 35Q55 35C08 78A60 35Q53 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 371, Article ID 124972, 11 p. (2020; Zbl 1433.35367) Full Text: DOI
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1434.78022 Regul. Chaotic Dyn. 24, No. 6, 607-614 (2019). MSC: 78A60 37K10 35Q51 35Q55 35C07 33E05 35C05 35B10 35Q60 35C08 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Regul. Chaotic Dyn. 24, No. 6, 607--614 (2019; Zbl 1434.78022) Full Text: DOI
Kudryashov, Nikolay A. Exact solutions of the equation for surface waves in a convecting fluid. (English) Zbl 1428.35454 Appl. Math. Comput. 344-345, 97-106 (2019). MSC: 35Q53 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 344--345, 97--106 (2019; Zbl 1428.35454) Full Text: DOI
Kudryashov, Nikolay A.; Rybka, Roman B.; Sboev, Aleksander G. Analytical properties of the perturbed FitzHugh-Nagumo model. (English) Zbl 1379.35050 Appl. Math. Lett. 76, 142-147 (2018). MSC: 35C05 35Q92 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Appl. Math. Lett. 76, 142--147 (2018; Zbl 1379.35050) Full Text: DOI
Kudryashov, Nikolay A.; Ryabov, Pavel N. Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. (English) Zbl 1410.35174 Appl. Math. Comput. 286, 171-177 (2016). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{P. N. Ryabov}, Appl. Math. Comput. 286, 171--177 (2016; Zbl 1410.35174) Full Text: DOI
Kudryashov, Nikolay A. From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations. (English) Zbl 1378.35269 Rep. Math. Phys. 77, No. 1, 57-67 (2016). MSC: 35Q53 35C08 35G20 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Rep. Math. Phys. 77, No. 1, 57--67 (2016; Zbl 1378.35269) Full Text: DOI
Kudryashov, N. A.; Sinelshchikov, D. I. On the integrability conditions for a family of Liénard-type equations. (English) Zbl 1355.34006 Regul. Chaotic Dyn. 21, No. 5, 548-555 (2016). MSC: 34A05 34A34 34A25 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{D. I. Sinelshchikov}, Regul. Chaotic Dyn. 21, No. 5, 548--555 (2016; Zbl 1355.34006) Full Text: DOI arXiv
Kudryashov, Nikolay A. Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves. (English) Zbl 1510.35267 Commun. Nonlinear Sci. Numer. Simul. 28, No. 1-3, 1-9 (2015). MSC: 35Q53 35C05 37K10 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Commun. Nonlinear Sci. Numer. Simul. 28, No. 1--3, 1--9 (2015; Zbl 1510.35267) Full Text: DOI
Kudryashov, Nikolay A. Logistic function as solution of many nonlinear differential equations. (English) Zbl 1443.34004 Appl. Math. Modelling 39, No. 18, 5733-5742 (2015). MSC: 34A05 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Modelling 39, No. 18, 5733--5742 (2015; Zbl 1443.34004) Full Text: DOI arXiv
Kudryashov, Nikolay A. Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model. (English) Zbl 1361.35157 Phys. Lett., A 379, No. 40-41, 2610-2614 (2015). MSC: 35Q53 35C08 35C07 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Phys. Lett., A 379, No. 40--41, 2610--2614 (2015; Zbl 1361.35157) Full Text: DOI
Kudryashov, Nikolay A. Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. (English) Zbl 1321.35203 Appl. Math. Lett. 41, 41-45 (2015). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 35C05 37K10 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Lett. 41, 41--45 (2015; Zbl 1321.35203) Full Text: DOI
Kudryashov, Nikolay A.; Ryabov, Pavel N. Exact solutions of one pattern formation model. (English) Zbl 1410.35173 Appl. Math. Comput. 232, 1090-1093 (2014). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{P. N. Ryabov}, Appl. Math. Comput. 232, 1090--1093 (2014; Zbl 1410.35173) Full Text: DOI
Kudryashov, N. A.; Zakharchenko, A. S. A note on solutions of the generalized Fisher equation. (English) Zbl 1327.35165 Appl. Math. Lett. 32, 53-56 (2014). MSC: 35K55 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{A. S. Zakharchenko}, Appl. Math. Lett. 32, 53--56 (2014; Zbl 1327.35165) Full Text: DOI
Kochanov, Mark B.; Kudryashov, Nikolay A. Quasi-exact solutions of the equation for description of nonlinear waves in a liquid with gas bubbles. (English) Zbl 1310.76165 Rep. Math. Phys. 74, No. 3, 399-408 (2014). MSC: 76T10 35C05 35Q53 35Q35 35A35 PDFBibTeX XMLCite \textit{M. B. Kochanov} and \textit{N. A. Kudryashov}, Rep. Math. Phys. 74, No. 3, 399--408 (2014; Zbl 1310.76165) Full Text: DOI
Kudryashov, Nikolay A.; Ryabov, Pavel N.; Fedyanin, Timofey E.; Kutukov, Alexandr A. Evolution of pattern formation under ion bombardment of substrate. (English) Zbl 1428.35092 Phys. Lett., A 377, No. 10-11, 753-759 (2013). MSC: 35G20 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Phys. Lett., A 377, No. 10--11, 753--759 (2013; Zbl 1428.35092) Full Text: DOI
Kudryashov, Nikolay A. Special polynomials associated with the Burgers hierarchy. (English) Zbl 1430.35198 Appl. Math. Comput. 218, No. 15, 7972-7976 (2012). MSC: 35Q35 33E99 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 218, No. 15, 7972--7976 (2012; Zbl 1430.35198) Full Text: DOI
Kudryashov, Nikolai A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I. Comment on “New types of exact solutions for nonlinear Schrödinger equation with cubic nonlinearity”. (English) Zbl 1220.35160 J. Comput. Appl. Math. 235, No. 15, 4513-4515 (2011). MSC: 35Q55 35C05 35C09 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., J. Comput. Appl. Math. 235, No. 15, 4513--4515 (2011; Zbl 1220.35160) Full Text: DOI
Kudryashov, Nikolai A.; Khlunov, Aleksandr V.; Chmykhov, Mikhail A. Thermal regimes of high burn-up nuclear fuel rod. (English) Zbl 1221.80020 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1240-1252 (2010). MSC: 80M20 65M06 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1240--1252 (2010; Zbl 1221.80020) Full Text: DOI arXiv
Kudryashov, Nikolai A.; Loguinova, Nadejda B. Be careful with the Exp-function method. (English) Zbl 1221.35344 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1881-1890 (2009). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{N. B. Loguinova}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1881--1890 (2009; Zbl 1221.35344) Full Text: DOI arXiv
Kudryashov, Nikolai A. Seven common errors in finding exact solutions of nonlinear differential equations. (English) Zbl 1221.35342 Commun. Nonlinear Sci. Numer. Simul. 14, No. 9-10, 3507-3529 (2009). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 9--10, 3507--3529 (2009; Zbl 1221.35342) Full Text: DOI arXiv
Kudryashov, Nikolai A.; Demina, Maria V. Traveling wave solutions of the generalized nonlinear evolution equations. (English) Zbl 1170.35514 Appl. Math. Comput. 210, No. 2, 551-557 (2009). MSC: 35Q53 35Q51 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{M. V. Demina}, Appl. Math. Comput. 210, No. 2, 551--557 (2009; Zbl 1170.35514) Full Text: DOI
Kudryashov, N. A. Approximate solutions of nonlinear heat conduction problem. (Russian, English) Zbl 1109.35059 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 11, 2044-2051 (2005); translation in Comput. Math. Math. Phys. 45, No. 11, 1965-1972 (2005). Reviewer: Evgenij Nechaev (Moskva) MSC: 35K60 35A35 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 11, 2044--2051 (2005; Zbl 1109.35059); translation in Comput. Math. Math. Phys. 45, No. 11, 1965--1972 (2005)