Edit Profile (opens in new tab) Kudryashov, Nikolaĭ Alekseevich Compute Distance To: Compute Author ID: kudryashov.nikolai-a Published as: Kudryashov, Nikolay A.; Kudryashov, N. A.; Kudryashov, Nikolai A.; Kudryashov, Nicolai A.; Kudryashov, Nick A. Homepage: https://primat.mephi.ru/~kudryashov/ External Links: ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 218 Publications since 1980, including 1 Book Co-Authors: 66 Co-Authors with 135 Joint Publications 503 Co-Co-Authors all top 5 Co-Authors 83 single-authored 34 Sinelshchikov, Dmitry I. 21 Demina, Maria V. 12 Ryabov, Pavel N. 5 Alekseev, Alexander A. 5 Kolobashkin, V. M. 4 Kochanov, Mark B. 4 Murzenko, V. V. 4 Soukharev, Mikhail B. 4 Zakharchenko, Anastasia S. 3 Bondarenko, A. G. 3 Chmykhov, Mikhail A. 3 Efimova, Olga Yu. 3 Gordeev, Yu. N. 3 Safonova, Dariya V. 3 Shilnikov, Kirill E. 3 Tutnov, An. A. 3 Volkov, Alexandr K. 2 Basanskij, E. G. 2 Chernyavsky, Igor L. 2 Fedyanin, Timofey E. 2 Gaiur, Ilia Yu. 2 Garashchuk, Ivan R. 2 Ghose Choudhury, Anindya 2 Guha, Partha 2 Korotkov, Eugene V. 2 Kucherenko, Sergei S. 2 Loguinova, Nadejda B. 2 Muratov, R. V. 2 Pickering, Andrew 1 Antonova, Anastasia O. 1 Biswas, Anjan 1 Borisov, Alekseĭ Vladimirovich 1 Crepin, Kofane Timoleon 1 Doka, Serge Yamigno 1 Gabbasov, M. N. 1 Gaiur, Ilya Y. 1 Gavrikov, M. B. 1 Gordeev, Yu. I. 1 Hubert, Malwe Boudoue 1 Ivanova, Yulia S. 1 Kazakov, Alexey O. 1 Khlunov, Aleksandr V. 1 Kolobanov, S. N. 1 Korotkova, M. A. 1 Koshkin, V. I. 1 Kutukov, Alexandr A. 1 Laskin, Andrew A. 1 Lavrova, S. F. 1 Migita, A. V. 1 Minaev, V. S. 1 Nikitin, V. A. 1 Petrov, B. A. 1 Prilipko, Svetlana G. 1 Rybka, Roman B. 1 Savatorova, Viktoria L. 1 Savel’ev, V. V. 1 Savina, Tatiana V. 1 Sboev, Aleksandr Georgievich 1 Skryabin, Konstantin Georgievich 1 Sukharev, M. B. 1 Sytsko, Yu. I. 1 Tala-Tebué, Éric 1 Teterev, N. A. 1 Urbain, Fibay 1 Vigdorowitsch, Michael V. 1 Zargaryan, Evgenia D. all top 5 Serials 29 Applied Mathematics and Computation 24 Regular and Chaotic Dynamics 23 Communications in Nonlinear Science and Numerical Simulation 19 Physics Letters. A 17 Fluid Dynamics 12 Chaos, Solitons and Fractals 12 Applied Mathematics Letters 11 Journal of Physics A: Mathematical and General 11 Matematicheskoe Modelirovanie 9 Theoretical and Mathematical Physics 5 Journal of Applied Mathematics and Mechanics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Prikladnaya Matematika i Mekhanika 3 Journal of Computational and Applied Mathematics 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 Soviet Physics. Doklady 2 Journal of Mathematical Physics 2 Reports on Mathematical Physics 2 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 2 Physica Scripta 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Heat and Mass Transfer 1 Magnetohydrodynamics 1 Wave Motion 1 Acta Applicandae Mathematicae 1 Nonlinear Dynamics 1 Chaos 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Computational Biology and Chemistry 1 Nelineĭnaya Dinamika all top 5 Fields 113 Partial differential equations (35-XX) 68 Ordinary differential equations (34-XX) 48 Fluid mechanics (76-XX) 34 Dynamical systems and ergodic theory (37-XX) 19 Special functions (33-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Biology and other natural sciences (92-XX) 9 Numerical analysis (65-XX) 9 Mechanics of deformable solids (74-XX) 7 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 173 Publications have been cited 1,984 times in 786 Documents Cited by ▼ Year ▼ Simplest equation method to look for exact solutions of nonlinear differential equations. Zbl 1069.35018Kudryashov, Nikolai A. 185 2005 One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055Kudryashov, Nikolay A. 117 2012 Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342Kudryashov, Nikolai A. 105 2009 Exact solitary waves of the Fisher equation. Zbl 1222.35054Kudryashov, Nikolai A. 77 2005 Be careful with the Exp-function method. Zbl 1221.35344Kudryashov, Nikolai A.; Loguinova, Nadejda B. 73 2009 Extended simplest equation method for nonlinear differential equations. Zbl 1168.34003Kudryashov, Nikolai A.; Loguinova, Nadejda B. 64 2008 On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343Kudryashov, Nikolai A. 57 2009 The first and second Painlevé equations of higher order and some relations between them. Zbl 0962.35504Kudryashov, Nicolai A. 51 1996 Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160Kudryashov, Nikolai A. 49 2010 A note on the \(G'/G\)-expansion method. Zbl 1203.35228Kudryashov, Nikolai A. 38 2010 From Laurent series to exact meromorphic solutions: The Kawahara equation. Zbl 1238.34020Demina, Maria V.; Kudryashov, Nikolay A. 28 2010 Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008Kudryashov, N. A.; Soukharev, M. B. 28 2009 Rational solutions for Schwarzian integrable hierarchies. Zbl 0985.37073Kudryashov, Nicolai A.; Pickering, Andrew 27 1998 Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations. Zbl 1221.34233Demina, Maria V.; Kudryashov, Nikolay A. 27 2011 Exact solutions of the Burgers-Huxley equation. Zbl 1092.35084Efimova, O. Yu.; Kudryashov, N. A. 26 2004 Two hierarchies of ordinary differential equations and their properties. Zbl 0948.34069Kudryashov, Nicolai A. 24 1999 Polygons of differential equations for finding exact solutions. Zbl 1133.35084Kudryashov, Nikolai A.; Demina, Maria V. 24 2007 Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229Kudryashov, N. A. 24 2008 A note on solutions of the generalized Fisher equation. Zbl 1327.35165Kudryashov, N. A.; Zakharchenko, A. S. 24 2014 Solitary waves in active-dissipative dispersive media. Zbl 0901.35090Kudryashov, Nicolai A.; Zargaryan, Evgenia D. 23 1996 Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer. Zbl 1236.76075Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 22 2010 Transcendents defined by nonlinear fourth-order ordinary differential equations. Zbl 0930.34004Kudryashov, Nicolai A. 20 1999 Uniformization and transcendence of solutions for the first and second Painlevé hierarchies. Zbl 0941.34077Kudryashov, Nicolai A.; Soukharev, Mikhail B. 20 1998 Amalgamations of the Painlevé equations. Zbl 1063.34085Kudryashov, Nikolai A. 20 2003 Traveling wave solutions of the generalized nonlinear evolution equations. Zbl 1170.35514Kudryashov, Nikolai A.; Demina, Maria V. 20 2009 Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. Zbl 1321.35203Kudryashov, Nikolay A. 20 2015 Polynomials in logistic function and solitary waves of nonlinear differential equations. Zbl 1297.35076Kudryashov, Nikolay A. 19 2013 Exact solutions of the Swift-Hohenberg equation with dispersion. Zbl 1245.35095Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 16 2012 Exact solutions of the generalized Bretherton equation. Zbl 1242.37054Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.; Demina, Maria V. 16 2011 Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193Kudryashov, Nikolay A. 16 2014 One generalization of the second Painlevé hierarchy. Zbl 1007.34083Kudryashov, Nikolai A. 15 2002 The second Painlevé equation as a model for the electric field in a semiconductor. Zbl 1044.82573Kudryashov, Nicolai A. 15 1997 Fourth-order analogies to the Painlevé equations. Zbl 1066.34086Kudryashov, Nikolai A. 15 2002 Comment on: “A novel approach for solving the Fisher equation using exp-function method” [Phys. Lett. A 372 (2008) 3836]. Zbl 1228.83031Kudryashov, Nikolai A. 15 2009 Exact solutions of equations for the Burgers hierarchy. Zbl 1176.35146Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 14 2009 On the criteria for integrability of the Liénard equation. Zbl 1343.34005Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 14 2016 Paul Painlevé and his contribution to science. Zbl 1333.01025Borisov, Alexey V.; Kudryashov, Nikolay A. 14 2014 Exact solutions of the nonlinear wave equations arising in mechanics. Zbl 0736.76009Kudryashov, N. A. 12 1990 Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Zbl 1433.35367Kudryashov, Nikolay A. 12 2020 Double Bäcklund transformations and special integrals for the \(K_{II}\) hierarchy. Zbl 1115.37355Kudryashov, Nikolai A. 12 2000 On elliptic solutions of nonlinear ordinary differential equations. Zbl 1220.65090Demina, Maria V.; Kudryashov, Nikolai A. 12 2011 On the connection of the quadratic Liénard equation with an equation for the elliptic functions. Zbl 1383.34003Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 12 2015 On the integrability conditions for a family of Liénard-type equations. Zbl 1355.34006Kudryashov, N. A.; Sinelshchikov, D. I. 12 2016 On new transcendents defined by nonlinear ordinary differential equations. Zbl 0906.34005Kudryashov, Nicolai A. 11 1998 Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Zbl 1215.76103Kudryashov, N. A.; Sinel’shchikov, D. I. 11 2010 Hyperchaos and multistability in the model of two interacting microbubble contrast agents. Zbl 1416.37069Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kazakov, Alexey O.; Kudryashov, Nikolay A. 11 2019 Solitary wave solutions of hierarchy with non-local nonlinearity. Zbl 1440.35028Kudryashov, Nikolay A. 11 2020 Exact solutions of the equation for surface waves in a convecting fluid. Zbl 1428.35454Kudryashov, Nikolay A. 11 2019 Analytical properties of the perturbed FitzHugh-Nagumo model. Zbl 1379.35050Kudryashov, Nikolay A.; Rybka, Roman B.; Sboev, Aleksander G. 10 2018 Special polynomials and rational solutions of the hierarchy of the second Painlevé equation. Zbl 1138.35388Demina, M. V.; Kudryashov, N. A. 10 2007 A note on new exact solutions for the Kawahara equation using Exp-function method. Zbl 1194.65119Kudryashov, Nikolai A. 9 2010 Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration. Zbl 1273.76407Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 9 2010 Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations. Zbl 1264.35186Demina, Maria V.; Kudryashov, Nikolai A. 9 2011 Self-similar solutions of the Burgers hierarchy. Zbl 1178.35321Kudryashov, Nikolai A. 9 2009 Analytical solutions of the Rayleigh equation for empty and gas-filled bubble. Zbl 1298.76190Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 9 2014 Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation. Zbl 1141.34058Demina, Maria V.; Kudryashov, Nikolai A. 9 2007 The Yablonskii-Vorob’ev polynomials for the second Painlevé hierarchy. Zbl 1132.33339Demina, Maria V.; Kudryashov, Nikolai A. 9 2007 The generalized Yablonskii-Vorob’ev polynomials and their properties. Zbl 1221.33033Kudryashov, Nikolai A.; Demina, Maria V. 9 2008 Vortices and polynomials: non-uniqueness of the Adler-Moser polynomials for the Tkachenko equation. Zbl 1245.35016Demina, Maria V.; Kudryashov, Nikolai A. 9 2012 Special polynomials associated with some hierarchies. Zbl 1220.34111Kudryashov, Nikolai A. 9 2008 Information decomposition method to analyze symbolical sequences. Zbl 1041.68073Korotkov, E. V.; Korotkova, M. A.; Kudryashov, N. A. 9 2003 Elliptic traveling waves of the Olver equation. Zbl 1248.35162Kudryashov, Nikolai A.; Soukharev, Mikhail B.; Demina, Maria V. 8 2012 A note on the Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1209.34111Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 8 2011 Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004Kudryashov, Nikolay A. 8 2018 Nonlinear waves in fluid flow through a viscoelastic tube. Zbl 1198.76167Kudryashov, N. A.; Chernyavskij, I. L. 7 2006 From singular manifold equations to integrable evolution equations. Zbl 0839.35119Kudryashov, Nick A. 7 1994 Some fourth-order ordinary differential equations which pass the Painlevé test. Zbl 0982.34077Kudryashov, Nicolai A. 7 2001 Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. Zbl 1290.35228Kudryashov, Nikolay A. 7 2013 Nonlinear differential equations of the second, third and fourth order with exact solutions. Zbl 1259.34006Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 7 2012 Analytical solutions of the Lorenz system. Zbl 1331.34005Kudryashov, Nikolay A. 7 2015 Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105Kudryashov, Nikolay A. 7 2018 Soliton, rational and special solutions of the Korteweg-de Vries hierarchy. Zbl 1203.35229Kudryashov, Nikolai A. 6 2010 Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model. Zbl 1361.35157Kudryashov, Nikolay A. 6 2015 Analytical properties of nonlinear dislocation equation. Zbl 1376.82102Kudryashov, Nikolay A. 6 2017 Equation for the three-dimensional nonlinear waves in liquid with gas bubbles. Zbl 1263.76073Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 6 2012 Fuchs indices and the first integrals of nonlinear differential equations. Zbl 1076.34500Kudryashov, Nikolai A. 6 2005 Quasi-exact solutions of nonlinear differential equations. Zbl 1295.34005Kudryashov, Nikolay A.; Kochanov, Mark B. 6 2012 Nonlinear waves in media with fifth order dispersion. Zbl 1242.74002Kudryashov, Nikolai A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I. 6 2011 Relations between zeros of special polynomials associated with the Painlevé equations. Zbl 1209.33007Kudryashov, Nikolai A.; Demina, Maria V. 6 2007 Power expansions for solution of the fourth-order analog to the first Painlevé equation. Zbl 1157.34066Kudryashov, Nikolai A.; Efimova, Olga Yu. 6 2006 On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations. Zbl 1411.34115Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A. 6 2017 Nonlinear differential equations associated with the first Painlevé hierarchy. Zbl 1414.34071Kudryashov, Nikolay A. 6 2019 Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy. Zbl 1428.35455Kudryashov, Nikolay A. 6 2019 On connections of the Liénard equation with some equations of Painlevé-Gambier type. Zbl 1362.34004Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 6 2017 A note on “Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation”. Zbl 1204.35071Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 5 2010 Bäcklund transformation for a fourth-order partial differential equation with the Burgers-Korteweg-de Vries nonlinearity. Zbl 0678.35082Kudryashov, N. A. 5 1988 Exact solutions of the generalized Ginzburg-Landau equation. Zbl 0972.35524Kudryashov, N. A. 5 1989 Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan 5 2019 Exact solutions of the generalized \(K(m, m)\) equations. Zbl 1221.35345Kudryashov, Nikolay A.; Prilipko, Svetlana G. 5 2011 Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux. Zbl 1210.80009Kudryashov, N. A.; Chmykhov, M. A. 5 2007 Logistic function as solution of many nonlinear differential equations. Zbl 1443.34004Kudryashov, Nikolay A. 5 2015 Integrable nonautonomous Liénard-type equations. Zbl 1403.34003Sinelshchikov, D. I.; Kudryashov, N. A. 5 2018 Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132Kudryashov, Nikolay A. 5 2019 A note on “New kink-shaped solutions and periodic wave solutions for the \((2 + 1)\)-dimensional sine-Gordon equation”. Zbl 1200.35262Kudryashov, Nikolay A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I. 4 2010 Special polynomials associated with the fourth order analogue to the Painlevé equations. Zbl 1197.33015Kudryashov, Nikolai A.; Demina, Maria V. 4 2007 Solitary waves in dissipative-dispersive systems with instability. Zbl 0691.76017Gordeev, Yu. N.; Kudryashov, N. A. 4 1989 Point vortices and classical orthogonal polynomials. Zbl 1257.33048Demina, Maria V.; Kudryashov, Nikolai A. 4 2012 Self-similar solution of the problem of gas flow through a porous medium under the conditions of turbulent filtration. Zbl 0484.76104Bondarenko, A. G.; Kolobashkin, V. M.; Kudryashov, N. A. 4 1980 Exact solutions of a family of Fisher equations. Zbl 0799.35112Kudryashov, N. A. 4 1993 The generalized Duffing oscillator. Zbl 07274921Kudryashov, Nikolay A. 4 2021 The generalized Duffing oscillator. Zbl 07274921Kudryashov, Nikolay A. 4 2021 Analytical features of the SIR model and their applications to COVID-19. Zbl 1481.92146Kudryashov, Nikolay A.; Chmykhov, Mikhail A.; Vigdorowitsch, Michael 3 2021 Lax pairs for one of hierarchies similar to the first Painlevé hierarchy. Zbl 1469.34117Kudryashov, Nikolay A. 1 2021 Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055Kudryashov, Nikolay A. 1 2021 Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Zbl 1433.35367Kudryashov, Nikolay A. 12 2020 Solitary wave solutions of hierarchy with non-local nonlinearity. Zbl 1440.35028Kudryashov, Nikolay A. 11 2020 Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096Kudryashov, Nikolay A. 3 2020 First integrals and general solution of the complex Ginzburg-Landau equation. Zbl 07323469Kudryashov, Nikolay A. 2 2020 Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251Kudryashov, Nikolay A. 2 2020 Rational solutions of equations associated with the second Painlevé equation. Zbl 1451.34004Kudryashov, Nikolay A. 1 2020 Hyperchaos and multistability in the model of two interacting microbubble contrast agents. Zbl 1416.37069Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kazakov, Alexey O.; Kudryashov, Nikolay A. 11 2019 Exact solutions of the equation for surface waves in a convecting fluid. Zbl 1428.35454Kudryashov, Nikolay A. 11 2019 Nonlinear differential equations associated with the first Painlevé hierarchy. Zbl 1414.34071Kudryashov, Nikolay A. 6 2019 Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy. Zbl 1428.35455Kudryashov, Nikolay A. 6 2019 Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan 5 2019 Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132Kudryashov, Nikolay A. 5 2019 Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations. Zbl 1440.34003Sinelshchikov, Dmitry I.; Gaiur, Ilia Yu.; Kudryashov, Nikolay A. 2 2019 Traveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integrals. Zbl 1464.35299Kudryashov, Nikolay A. 1 2019 On integrability of the FitzHugh-Rinzel model. Zbl 1416.37055Kudryashov, Nikolay A. 1 2019 Analytical properties of the perturbed FitzHugh-Nagumo model. Zbl 1379.35050Kudryashov, Nikolay A.; Rybka, Roman B.; Sboev, Aleksander G. 10 2018 Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004Kudryashov, Nikolay A. 8 2018 Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105Kudryashov, Nikolay A. 7 2018 Integrable nonautonomous Liénard-type equations. Zbl 1403.34003Sinelshchikov, D. I.; Kudryashov, N. A. 5 2018 Meromorphic solutions in the Fitzhugh-Nagumo model. Zbl 1394.34184Demina, Maria V.; Kudryashov, Nikolay A. 3 2018 Nonlinear dynamics of a bubble contrast agent oscillating near an elastic wall. Zbl 1400.37106Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A. 3 2018 The collective behavior of shear strain localizations in dipolar materials. Zbl 1427.74009Kudryashov, N. A.; Muratov, R. V.; Ryabov, P. N. 2 2018 Analytical properties of nonlinear dislocation equation. Zbl 1376.82102Kudryashov, Nikolay A. 6 2017 On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations. Zbl 1411.34115Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A. 6 2017 On connections of the Liénard equation with some equations of Painlevé-Gambier type. Zbl 1362.34004Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 6 2017 New non-standard Lagrangians for the Liénard-type equations. Zbl 1356.34045Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 4 2017 Weak nonlinear asymptotic solutions for the fourth order analogue of the second Painlevé equation. Zbl 1387.34124Gaiur, Ilia Yu.; Kudryashov, Nikolay A. 2 2017 On the criteria for integrability of the Liénard equation. Zbl 1343.34005Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 14 2016 On the integrability conditions for a family of Liénard-type equations. Zbl 1355.34006Kudryashov, N. A.; Sinelshchikov, D. I. 12 2016 Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. Zbl 1410.35174Kudryashov, Nikolay A.; Ryabov, Pavel N. 4 2016 From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations. Zbl 1378.35269Kudryashov, Nikolay A. 3 2016 Painlevé analysis and exact solutions for the modified Korteweg-de Vries equation with polynomial source. Zbl 1410.35172Kudryashov, Nikolay A.; Ivanova, Yulia S. 2 2016 Nonlinear waves described by a fifth-order equation derived from the Fermi-Pasta-Ulam system. Zbl 1352.35155Volkov, Alexander K.; Kudryashov, N. A. 1 2016 Multi-particle dynamical systems and polynomials. Zbl 1377.35006Demina, Maria V.; Kudryashov, Nikolai A. 1 2016 On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation. Zbl 1410.35171Kudryashov, Nikolay A. 1 2016 Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. Zbl 1321.35203Kudryashov, Nikolay A. 20 2015 On the connection of the quadratic Liénard equation with an equation for the elliptic functions. Zbl 1383.34003Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 12 2015 Analytical solutions of the Lorenz system. Zbl 1331.34005Kudryashov, Nikolay A. 7 2015 Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model. Zbl 1361.35157Kudryashov, Nikolay A. 6 2015 Logistic function as solution of many nonlinear differential equations. Zbl 1443.34004Kudryashov, Nikolay A. 5 2015 Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves. Zbl 07246001Kudryashov, Nikolay A. 3 2015 Analytical properties and exact solutions of the Lotka-Volterra competition system. Zbl 1410.35018Kudryashov, Nikolay A.; Zakharchenko, Anastasia S. 3 2015 Numerical modeling and optimization of the cryosurgery operations. Zbl 1323.80005Kudryashov, Nikolay A.; Shilnikov, Kirill E. 2 2015 Painlevé analysis and exact solutions of a predator-prey system with diffusion. Zbl 1318.35136Kudryashov, N. A.; Zakharchenko, A. S. 1 2015 On nonlinear differential equation with exact solutions having various pole orders. Zbl 1352.34117Kudryashov, N. A. 1 2015 A note on solutions of the generalized Fisher equation. Zbl 1327.35165Kudryashov, N. A.; Zakharchenko, A. S. 24 2014 Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193Kudryashov, Nikolay A. 16 2014 Paul Painlevé and his contribution to science. Zbl 1333.01025Borisov, Alexey V.; Kudryashov, Nikolay A. 14 2014 Analytical solutions of the Rayleigh equation for empty and gas-filled bubble. Zbl 1298.76190Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 9 2014 The Cauchy problem for the equation of the Burgers hierarchy. Zbl 1319.35220Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 4 2014 Special solutions of a high-order equation for waves in a liquid with gas bubbles. Zbl 1307.35229Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 4 2014 Exact solutions of one pattern formation model. Zbl 1410.35173Kudryashov, Nikolay A.; Ryabov, Pavel N. 3 2014 Analytical and numerical studying of the perturbed Korteweg-de Vries equation. Zbl 1366.35158Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 2 2014 Quasi-exact solutions of the equation for description of nonlinear waves in a liquid with gas bubbles. Zbl 1310.76165Kochanov, Mark B.; Kudryashov, Nikolay A. 2 2014 Painlevé analysis and exact solutions for the Belousov-Zhabotinskii reaction-diffusion system. Zbl 1348.35112Kudryashov, Nikolay A.; Zakharchenko, Anastasia S. 1 2014 Elliptic solutions in the Hénon-Heiles model. Zbl 1470.34003Demina, Maria V.; Kudryashov, Nikolay A. 1 2014 Generalization of the simplest equation method for nonlinear non-autonomous differential equations. Zbl 1470.34002Antonova, Anastasia O.; Kudryashov, Nikolay A. 1 2014 Polynomials in logistic function and solitary waves of nonlinear differential equations. Zbl 1297.35076Kudryashov, Nikolay A. 19 2013 Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. Zbl 1290.35228Kudryashov, Nikolay A. 7 2013 Relative equilibrium configurations of point vortices on a sphere. Zbl 1274.76178Demina, Maria V.; Kudryashov, Nikolai A. 3 2013 An extended equation for the description of nonlinear waves in a liquid with gas bubbles. Zbl 1454.76097Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 3 2013 Non-linear waves on shallow water under an ice cover. Higher order expansions. Zbl 1282.76077Kochanov, M. B.; Kudryashov, N. A.; Sinel’shchikov, D. I. 2 2013 One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055Kudryashov, Nikolay A. 117 2012 Exact solutions of the Swift-Hohenberg equation with dispersion. Zbl 1245.35095Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 16 2012 Vortices and polynomials: non-uniqueness of the Adler-Moser polynomials for the Tkachenko equation. Zbl 1245.35016Demina, Maria V.; Kudryashov, Nikolai A. 9 2012 Elliptic traveling waves of the Olver equation. Zbl 1248.35162Kudryashov, Nikolai A.; Soukharev, Mikhail B.; Demina, Maria V. 8 2012 Nonlinear differential equations of the second, third and fourth order with exact solutions. Zbl 1259.34006Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 7 2012 Equation for the three-dimensional nonlinear waves in liquid with gas bubbles. Zbl 1263.76073Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 6 2012 Quasi-exact solutions of nonlinear differential equations. Zbl 1295.34005Kudryashov, Nikolay A.; Kochanov, Mark B. 6 2012 Point vortices and classical orthogonal polynomials. Zbl 1257.33048Demina, Maria V.; Kudryashov, Nikolai A. 4 2012 Special polynomials associated with the Burgers hierarchy. Zbl 1430.35198Kudryashov, Nikolay A. 3 2012 Elliptic solutions for a family of fifth order nonlinear evolution equations. Zbl 1246.35079Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 2 2012 Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations. Zbl 1221.34233Demina, Maria V.; Kudryashov, Nikolay A. 27 2011 Exact solutions of the generalized Bretherton equation. Zbl 1242.37054Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.; Demina, Maria V. 16 2011 On elliptic solutions of nonlinear ordinary differential equations. Zbl 1220.65090Demina, Maria V.; Kudryashov, Nikolai A. 12 2011 Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations. Zbl 1264.35186Demina, Maria V.; Kudryashov, Nikolai A. 9 2011 A note on the Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1209.34111Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 8 2011 Nonlinear waves in media with fifth order dispersion. Zbl 1242.74002Kudryashov, Nikolai A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I. 6 2011 Exact solutions of the generalized \(K(m, m)\) equations. Zbl 1221.35345Kudryashov, Nikolay A.; Prilipko, Svetlana G. 5 2011 Nonlinear evolution equation for describing waves in a viscoelastic tube. Zbl 1221.74044Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 4 2011 Comment on: “Application of the \((\frac{G'}{G})\)-expansion method for the complex KdV equation” [Huiqun Zhang, Commun. Nonlinear Sci. Numer. Simul. 15; 2010:1700-1704]. Zbl 1222.35171Kudryashov, Nikolay A.; Ryabov, Pavel N. 4 2011 Properties of nonlinear waves in an actively-dissipative dispersive medium. Zbl 1235.76031Kudryashov, N. A.; Ryabov, P. N. 2 2011 Redundant exact solutions of nonlinear differential equations. Zbl 1244.35030Kudryashov, Nikolay A. 2 2011 A note on solutions of the Korteweg-de Vries hierarchy. Zbl 1222.65086Kudryashov, Nikolay A. 1 2011 Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160Kudryashov, Nikolai A. 49 2010 A note on the \(G'/G\)-expansion method. Zbl 1203.35228Kudryashov, Nikolai A. 38 2010 From Laurent series to exact meromorphic solutions: The Kawahara equation. Zbl 1238.34020Demina, Maria V.; Kudryashov, Nikolay A. 28 2010 Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer. Zbl 1236.76075Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 22 2010 Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Zbl 1215.76103Kudryashov, N. A.; Sinel’shchikov, D. I. 11 2010 A note on new exact solutions for the Kawahara equation using Exp-function method. Zbl 1194.65119Kudryashov, Nikolai A. 9 2010 Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration. Zbl 1273.76407Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. 9 2010 Soliton, rational and special solutions of the Korteweg-de Vries hierarchy. Zbl 1203.35229Kudryashov, Nikolai A. 6 2010 A note on “Abundant new exact solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation”. Zbl 1204.35071Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. 5 2010 A note on “New kink-shaped solutions and periodic wave solutions for the \((2 + 1)\)-dimensional sine-Gordon equation”. Zbl 1200.35262Kudryashov, Nikolay A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I. 4 2010 A new note on exact complex travelling wave solutions for \((2+1)\)-dimensional B-type Kadomtsev-Petviashvili equation. Zbl 1202.35230Kudryashov, Nikolay A. 1 2010 Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342Kudryashov, Nikolai A. 105 2009 ...and 73 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 840 Authors 136 Kudryashov, Nikolaĭ Alekseevich 34 Sinelshchikov, Dmitry I. 29 Khalique, Chaudry Masood 28 Biswas, Anjan 22 Demina, Maria V. 15 Vitanov, Nikolay K. 14 Bruzón, Maria Santos 14 Yuan, Wenjun 12 Adem, Abdullahi Rashid 12 Dimitrova, Zlatinka I. 12 Gandarias Núñez, Maria Luz 12 Zayed, Elsayed M. E. 11 Kara, Abdul Hamid 11 Pickering, Andrew 11 Ryabov, Pavel N. 10 Aslan, İsmail 10 Navickas, Zenonas 10 Ragulskis, Minvydas 9 Gordoa, Pilar Ruiz 9 Gu, Yongyi 9 Kashchenko, Sergeĭ Aleksandrovich 8 Belić, Milivoj R. 7 Ekici, Mehmet 7 Mirzazadeh, Mohammad 7 Muatjetjeja, Ben 7 Wu, Yonghong 6 Alquran, Marwan Taiseer 6 Gromak, Valeriĭ Ivanovich 6 Meng, Fanning 6 Parkes, E. John 6 Polyanin, Andrei Dmitrievich 6 Telksnys, Tadas 6 Zhou, Qin 5 Alurrfi, Khaled A. E. 5 Băleanu, Dumitru I. 5 Bulut, Hasan 5 Conte, Robert Maurice 5 Doka, Serge Yamigno 5 Guha, Partha 5 Huang, Yong 5 Kazakov, Aleksandr Leonidovich 5 Kazakov, Alexey O. 5 Kochanov, Mark B. 5 Lu, Dianchen 5 Muriel, Concepción 5 Rezazadeh, Hadi 5 Vitanov, Kaloyan N. 5 Yaşar, Emrullah 5 Yıldırım, Yakup 4 Arnous, Ahmed H. 4 Bekir, Ahmet 4 Betchewe, Gambo 4 Chen, Cheng 4 Clarkson, Peter A. 4 Coclite, Giuseppe Maria 4 Dai, Chaoqing 4 Di Ruvo, Lorenzo 4 Efimova, Olga Yu. 4 Eslami, Mostafa 4 Garashchuk, Ivan R. 4 Ghose Choudhury, Anindya 4 Gordeev, Yu. N. 4 Gurefe, Yusuf 4 Jaradat, Imad 4 Jiang, Yaolin 4 Li, Jibin 4 Liu, Qian 4 Long, Yao 4 Mhlanga, Isaiah Elvis 4 Misirli, Emine E. 4 Moleleki, Letlhogonolo Daddy 4 Murzenko, V. V. 4 Ng, Tuen-Wai 4 Pandir, Yusuf 4 Qin, Yupeng 4 Sönmezoğlu, Abdullah 4 Tian, Shoufu 4 van Gorder, Robert Ashton 4 Wang, Gangwei 4 Wang, Zhen 4 Zakharchenko, Anastasia S. 4 Zhang, Tiantian 4 Zhao, Yunmei 4 Zhou, Yuqian 4 Zou, Li 3 Adem, Khadijo Rashid 3 Alzahrani, Abdullah Kamis 3 Aminakbari, Najva 3 Anghel, Nicolae 3 Baskonus, Haci Mehmet 3 Bochkarev, Andrey V. 3 Crepin, Kofane Timoleon 3 Fahmy, E. S. 3 Garrido, Tamara Maria 3 He, Yinghui 3 Khater, Mostafa M. A. 3 Kim, Hyunsoo 3 Korotkov, Eugene V. 3 Kuznetsov, Pavel Aleksandrovich 3 Layeni, Olawanle P. ...and 740 more Authors all top 5 Cited in 157 Serials 116 Applied Mathematics and Computation 61 Communications in Nonlinear Science and Numerical Simulation 32 Regular and Chaotic Dynamics 27 Nonlinear Dynamics 26 Chaos, Solitons and Fractals 25 Computers & Mathematics with Applications 22 Applied Mathematics Letters 18 Fluid Dynamics 17 Mathematical Methods in the Applied Sciences 15 Journal of Mathematical Analysis and Applications 15 Mathematical Problems in Engineering 14 International Journal of Applied and Computational Mathematics 13 Physics Letters. 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