## Kudryashov, Nikolaĭ Alekseevich

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 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
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### 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.
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### 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
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### 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)

### 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 1069.35018
Kudryashov, Nikolai A.
2005
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
2012
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
2009
Exact solitary waves of the Fisher equation. Zbl 1222.35054
Kudryashov, Nikolai A.
2005
Be careful with the Exp-function method. Zbl 1221.35344
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
2009
Extended simplest equation method for nonlinear differential equations. Zbl 1168.34003
Kudryashov, Nikolai A.; Loguinova, Nadejda B.
2008
On “new travelling wave solutions” of the KdV and the KdV-Burgers equations. Zbl 1221.35343
Kudryashov, Nikolai A.
2009
The first and second Painlevé equations of higher order and some relations between them. Zbl 0962.35504
Kudryashov, Nicolai A.
1996
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
2010
A note on the $$G'/G$$-expansion method. Zbl 1203.35228
Kudryashov, Nikolai A.
2010
From Laurent series to exact meromorphic solutions: The Kawahara equation. Zbl 1238.34020
Demina, Maria V.; Kudryashov, Nikolay A.
2010
Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008
Kudryashov, N. A.; Soukharev, M. B.
2009
Rational solutions for Schwarzian integrable hierarchies. Zbl 0985.37073
Kudryashov, Nicolai A.; Pickering, Andrew
1998
Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations. Zbl 1221.34233
Demina, Maria V.; Kudryashov, Nikolay A.
2011
Exact solutions of the Burgers-Huxley equation. Zbl 1092.35084
Efimova, O. Yu.; Kudryashov, N. A.
2004
Two hierarchies of ordinary differential equations and their properties. Zbl 0948.34069
Kudryashov, Nicolai A.
1999
Polygons of differential equations for finding exact solutions. Zbl 1133.35084
Kudryashov, Nikolai A.; Demina, Maria V.
2007
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229
Kudryashov, N. A.
2008
A note on solutions of the generalized Fisher equation. Zbl 1327.35165
Kudryashov, N. A.; Zakharchenko, A. S.
2014
Solitary waves in active-dissipative dispersive media. Zbl 0901.35090
Kudryashov, Nicolai A.; Zargaryan, Evgenia D.
1996
Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer. Zbl 1236.76075
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2010
Transcendents defined by nonlinear fourth-order ordinary differential equations. Zbl 0930.34004
Kudryashov, Nicolai A.
1999
Uniformization and transcendence of solutions for the first and second Painlevé hierarchies. Zbl 0941.34077
Kudryashov, Nicolai A.; Soukharev, Mikhail B.
1998
Amalgamations of the Painlevé equations. Zbl 1063.34085
Kudryashov, Nikolai A.
2003
Traveling wave solutions of the generalized nonlinear evolution equations. Zbl 1170.35514
Kudryashov, Nikolai A.; Demina, Maria V.
2009
Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. Zbl 1321.35203
Kudryashov, Nikolay A.
2015
Polynomials in logistic function and solitary waves of nonlinear differential equations. Zbl 1297.35076
Kudryashov, Nikolay A.
2013
Exact solutions of the Swift-Hohenberg equation with dispersion. Zbl 1245.35095
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2012
Exact solutions of the generalized Bretherton equation. Zbl 1242.37054
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.; Demina, Maria V.
2011
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
2014
One generalization of the second Painlevé hierarchy. Zbl 1007.34083
Kudryashov, Nikolai A.
2002
The second Painlevé equation as a model for the electric field in a semiconductor. Zbl 1044.82573
Kudryashov, Nicolai A.
1997
Fourth-order analogies to the Painlevé equations. Zbl 1066.34086
Kudryashov, Nikolai A.
2002
Comment on: “A novel approach for solving the Fisher equation using exp-function method” [Phys. Lett. A 372 (2008) 3836]. Zbl 1228.83031
Kudryashov, Nikolai A.
2009
Exact solutions of equations for the Burgers hierarchy. Zbl 1176.35146
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2009
On the criteria for integrability of the Liénard equation. Zbl 1343.34005
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2016
Paul Painlevé and his contribution to science. Zbl 1333.01025
Borisov, Alexey V.; Kudryashov, Nikolay A.
2014
Exact solutions of the nonlinear wave equations arising in mechanics. Zbl 0736.76009
Kudryashov, N. A.
1990
Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Zbl 1433.35367
Kudryashov, Nikolay A.
2020
Double Bäcklund transformations and special integrals for the $$K_{II}$$ hierarchy. Zbl 1115.37355
Kudryashov, Nikolai A.
2000
On elliptic solutions of nonlinear ordinary differential equations. Zbl 1220.65090
Demina, Maria V.; Kudryashov, Nikolai A.
2011
On the connection of the quadratic Liénard equation with an equation for the elliptic functions. Zbl 1383.34003
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2015
On the integrability conditions for a family of Liénard-type equations. Zbl 1355.34006
Kudryashov, N. A.; Sinelshchikov, D. I.
2016
On new transcendents defined by nonlinear ordinary differential equations. Zbl 0906.34005
Kudryashov, Nicolai A.
1998
Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Zbl 1215.76103
Kudryashov, N. A.; Sinel’shchikov, D. I.
2010
Hyperchaos and multistability in the model of two interacting microbubble contrast agents. Zbl 1416.37069
Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kazakov, Alexey O.; Kudryashov, Nikolay A.
2019
Solitary wave solutions of hierarchy with non-local nonlinearity. Zbl 1440.35028
Kudryashov, Nikolay A.
2020
Exact solutions of the equation for surface waves in a convecting fluid. Zbl 1428.35454
Kudryashov, Nikolay A.
2019
Analytical properties of the perturbed FitzHugh-Nagumo model. Zbl 1379.35050
Kudryashov, Nikolay A.; Rybka, Roman B.; Sboev, Aleksander G.
2018
Special polynomials and rational solutions of the hierarchy of the second Painlevé equation. Zbl 1138.35388
Demina, M. V.; Kudryashov, N. A.
2007
A note on new exact solutions for the Kawahara equation using Exp-function method. Zbl 1194.65119
Kudryashov, Nikolai A.
2010
Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration. Zbl 1273.76407
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2010
Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations. Zbl 1264.35186
Demina, Maria V.; Kudryashov, Nikolai A.
2011
Self-similar solutions of the Burgers hierarchy. Zbl 1178.35321
Kudryashov, Nikolai A.
2009
Analytical solutions of the Rayleigh equation for empty and gas-filled bubble. Zbl 1298.76190
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2014
Power and non-power expansions of the solutions for the fourth-order analogue to the second Painlevé equation. Zbl 1141.34058
Demina, Maria V.; Kudryashov, Nikolai A.
2007
The Yablonskii-Vorob’ev polynomials for the second Painlevé hierarchy. Zbl 1132.33339
Demina, Maria V.; Kudryashov, Nikolai A.
2007
The generalized Yablonskii-Vorob’ev polynomials and their properties. Zbl 1221.33033
Kudryashov, Nikolai A.; Demina, Maria V.
2008
Vortices and polynomials: non-uniqueness of the Adler-Moser polynomials for the Tkachenko equation. Zbl 1245.35016
Demina, Maria V.; Kudryashov, Nikolai A.
2012
Special polynomials associated with some hierarchies. Zbl 1220.34111
Kudryashov, Nikolai A.
2008
Information decomposition method to analyze symbolical sequences. Zbl 1041.68073
Korotkov, E. V.; Korotkova, M. A.; Kudryashov, N. A.
2003
Elliptic traveling waves of the Olver equation. Zbl 1248.35162
Kudryashov, Nikolai A.; Soukharev, Mikhail B.; Demina, Maria V.
2012
A note on the Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1209.34111
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2011
Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004
Kudryashov, Nikolay A.
2018
Nonlinear waves in fluid flow through a viscoelastic tube. Zbl 1198.76167
Kudryashov, N. A.; Chernyavskij, I. L.
2006
From singular manifold equations to integrable evolution equations. Zbl 0839.35119
Kudryashov, Nick A.
1994
Some fourth-order ordinary differential equations which pass the Painlevé test. Zbl 0982.34077
Kudryashov, Nicolai A.
2001
Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. Zbl 1290.35228
Kudryashov, Nikolay A.
2013
Nonlinear differential equations of the second, third and fourth order with exact solutions. Zbl 1259.34006
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2012
Analytical solutions of the Lorenz system. Zbl 1331.34005
Kudryashov, Nikolay A.
2015
Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105
Kudryashov, Nikolay A.
2018
Soliton, rational and special solutions of the Korteweg-de Vries hierarchy. Zbl 1203.35229
Kudryashov, Nikolai A.
2010
Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model. Zbl 1361.35157
Kudryashov, Nikolay A.
2015
Analytical properties of nonlinear dislocation equation. Zbl 1376.82102
Kudryashov, Nikolay A.
2017
Equation for the three-dimensional nonlinear waves in liquid with gas bubbles. Zbl 1263.76073
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2012
Fuchs indices and the first integrals of nonlinear differential equations. Zbl 1076.34500
Kudryashov, Nikolai A.
2005
Quasi-exact solutions of nonlinear differential equations. Zbl 1295.34005
Kudryashov, Nikolay A.; Kochanov, Mark B.
2012
Nonlinear waves in media with fifth order dispersion. Zbl 1242.74002
Kudryashov, Nikolai A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I.
2011
Relations between zeros of special polynomials associated with the Painlevé equations. Zbl 1209.33007
Kudryashov, Nikolai A.; Demina, Maria V.
2007
Power expansions for solution of the fourth-order analog to the first Painlevé equation. Zbl 1157.34066
Kudryashov, Nikolai A.; Efimova, Olga Yu.
2006
On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations. Zbl 1411.34115
Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A.
2017
Nonlinear differential equations associated with the first Painlevé hierarchy. Zbl 1414.34071
Kudryashov, Nikolay A.
2019
Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy. Zbl 1428.35455
Kudryashov, Nikolay A.
2019
On connections of the Liénard equation with some equations of Painlevé-Gambier type. Zbl 1362.34004
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2017
A note on “Abundant new exact solutions for the $$(3+1)$$-dimensional Jimbo-Miwa equation”. Zbl 1204.35071
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2010
Bäcklund transformation for a fourth-order partial differential equation with the Burgers-Korteweg-de Vries nonlinearity. Zbl 0678.35082
Kudryashov, N. A.
1988
Exact solutions of the generalized Ginzburg-Landau equation. Zbl 0972.35524
Kudryashov, N. A.
1989
Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan
2019
Exact solutions of the generalized $$K(m, m)$$ equations. Zbl 1221.35345
Kudryashov, Nikolay A.; Prilipko, Svetlana G.
2011
Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux. Zbl 1210.80009
Kudryashov, N. A.; Chmykhov, M. A.
2007
Logistic function as solution of many nonlinear differential equations. Zbl 1443.34004
Kudryashov, Nikolay A.
2015
Integrable nonautonomous Liénard-type equations. Zbl 1403.34003
Sinelshchikov, D. I.; Kudryashov, N. A.
2018
Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132
Kudryashov, Nikolay A.
2019
A note on “New kink-shaped solutions and periodic wave solutions for the $$(2 + 1)$$-dimensional sine-Gordon equation”. Zbl 1200.35262
Kudryashov, Nikolay A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I.
2010
Special polynomials associated with the fourth order analogue to the Painlevé equations. Zbl 1197.33015
Kudryashov, Nikolai A.; Demina, Maria V.
2007
Solitary waves in dissipative-dispersive systems with instability. Zbl 0691.76017
Gordeev, Yu. N.; Kudryashov, N. A.
1989
Point vortices and classical orthogonal polynomials. Zbl 1257.33048
Demina, Maria V.; Kudryashov, Nikolai A.
2012
Self-similar solution of the problem of gas flow through a porous medium under the conditions of turbulent filtration. Zbl 0484.76104
Bondarenko, A. G.; Kolobashkin, V. M.; Kudryashov, N. A.
1980
Exact solutions of a family of Fisher equations. Zbl 0799.35112
Kudryashov, N. A.
1993
The generalized Duffing oscillator. Zbl 07274921
Kudryashov, Nikolay A.
2021
The generalized Duffing oscillator. Zbl 07274921
Kudryashov, Nikolay A.
2021
Analytical features of the SIR model and their applications to COVID-19. Zbl 1481.92146
Kudryashov, Nikolay A.; Chmykhov, Mikhail A.; Vigdorowitsch, Michael
2021
Lax pairs for one of hierarchies similar to the first Painlevé hierarchy. Zbl 1469.34117
Kudryashov, Nikolay A.
2021
Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055
Kudryashov, Nikolay A.
2021
Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Zbl 1433.35367
Kudryashov, Nikolay A.
2020
Solitary wave solutions of hierarchy with non-local nonlinearity. Zbl 1440.35028
Kudryashov, Nikolay A.
2020
Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096
Kudryashov, Nikolay A.
2020
First integrals and general solution of the complex Ginzburg-Landau equation. Zbl 07323469
Kudryashov, Nikolay A.
2020
Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251
Kudryashov, Nikolay A.
2020
Rational solutions of equations associated with the second Painlevé equation. Zbl 1451.34004
Kudryashov, Nikolay A.
2020
Hyperchaos and multistability in the model of two interacting microbubble contrast agents. Zbl 1416.37069
Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kazakov, Alexey O.; Kudryashov, Nikolay A.
2019
Exact solutions of the equation for surface waves in a convecting fluid. Zbl 1428.35454
Kudryashov, Nikolay A.
2019
Nonlinear differential equations associated with the first Painlevé hierarchy. Zbl 1414.34071
Kudryashov, Nikolay A.
2019
Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy. Zbl 1428.35455
Kudryashov, Nikolay A.
2019
Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan
2019
Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132
Kudryashov, Nikolay A.
2019
Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations. Zbl 1440.34003
Sinelshchikov, Dmitry I.; Gaiur, Ilia Yu.; Kudryashov, Nikolay A.
2019
Traveling wave reduction of the modified KdV hierarchy: the Lax pair and the first integrals. Zbl 1464.35299
Kudryashov, Nikolay A.
2019
On integrability of the FitzHugh-Rinzel model. Zbl 1416.37055
Kudryashov, Nikolay A.
2019
Analytical properties of the perturbed FitzHugh-Nagumo model. Zbl 1379.35050
Kudryashov, Nikolay A.; Rybka, Roman B.; Sboev, Aleksander G.
2018
Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004
Kudryashov, Nikolay A.
2018
Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105
Kudryashov, Nikolay A.
2018
Integrable nonautonomous Liénard-type equations. Zbl 1403.34003
Sinelshchikov, D. I.; Kudryashov, N. A.
2018
Meromorphic solutions in the Fitzhugh-Nagumo model. Zbl 1394.34184
Demina, Maria V.; Kudryashov, Nikolay A.
2018
Nonlinear dynamics of a bubble contrast agent oscillating near an elastic wall. Zbl 1400.37106
Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A.
2018
The collective behavior of shear strain localizations in dipolar materials. Zbl 1427.74009
Kudryashov, N. A.; Muratov, R. V.; Ryabov, P. N.
2018
Analytical properties of nonlinear dislocation equation. Zbl 1376.82102
Kudryashov, Nikolay A.
2017
On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations. Zbl 1411.34115
Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A.
2017
On connections of the Liénard equation with some equations of Painlevé-Gambier type. Zbl 1362.34004
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2017
New non-standard Lagrangians for the Liénard-type equations. Zbl 1356.34045
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2017
Weak nonlinear asymptotic solutions for the fourth order analogue of the second Painlevé equation. Zbl 1387.34124
Gaiur, Ilia Yu.; Kudryashov, Nikolay A.
2017
On the criteria for integrability of the Liénard equation. Zbl 1343.34005
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2016
On the integrability conditions for a family of Liénard-type equations. Zbl 1355.34006
Kudryashov, N. A.; Sinelshchikov, D. I.
2016
Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. Zbl 1410.35174
Kudryashov, Nikolay A.; Ryabov, Pavel N.
2016
From the Fermi-Pasta-Ulam model to higher-order nonlinear evolution equations. Zbl 1378.35269
Kudryashov, Nikolay A.
2016
Painlevé analysis and exact solutions for the modified Korteweg-de Vries equation with polynomial source. Zbl 1410.35172
Kudryashov, Nikolay A.; Ivanova, Yulia S.
2016
Nonlinear waves described by a fifth-order equation derived from the Fermi-Pasta-Ulam system. Zbl 1352.35155
Volkov, Alexander K.; Kudryashov, N. A.
2016
Multi-particle dynamical systems and polynomials. Zbl 1377.35006
Demina, Maria V.; Kudryashov, Nikolai A.
2016
On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation. Zbl 1410.35171
Kudryashov, Nikolay A.
2016
Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. Zbl 1321.35203
Kudryashov, Nikolay A.
2015
On the connection of the quadratic Liénard equation with an equation for the elliptic functions. Zbl 1383.34003
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2015
Analytical solutions of the Lorenz system. Zbl 1331.34005
Kudryashov, Nikolay A.
2015
Refinement of the Korteweg-de Vries equation from the Fermi-pasta-Ulam model. Zbl 1361.35157
Kudryashov, Nikolay A.
2015
Logistic function as solution of many nonlinear differential equations. Zbl 1443.34004
Kudryashov, Nikolay A.
2015
Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves. Zbl 07246001
Kudryashov, Nikolay A.
2015
Analytical properties and exact solutions of the Lotka-Volterra competition system. Zbl 1410.35018
Kudryashov, Nikolay A.; Zakharchenko, Anastasia S.
2015
Numerical modeling and optimization of the cryosurgery operations. Zbl 1323.80005
Kudryashov, Nikolay A.; Shilnikov, Kirill E.
2015
Painlevé analysis and exact solutions of a predator-prey system with diffusion. Zbl 1318.35136
Kudryashov, N. A.; Zakharchenko, A. S.
2015
On nonlinear differential equation with exact solutions having various pole orders. Zbl 1352.34117
Kudryashov, N. A.
2015
A note on solutions of the generalized Fisher equation. Zbl 1327.35165
Kudryashov, N. A.; Zakharchenko, A. S.
2014
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
2014
Paul Painlevé and his contribution to science. Zbl 1333.01025
Borisov, Alexey V.; Kudryashov, Nikolay A.
2014
Analytical solutions of the Rayleigh equation for empty and gas-filled bubble. Zbl 1298.76190
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2014
The Cauchy problem for the equation of the Burgers hierarchy. Zbl 1319.35220
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2014
Special solutions of a high-order equation for waves in a liquid with gas bubbles. Zbl 1307.35229
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2014
Exact solutions of one pattern formation model. Zbl 1410.35173
Kudryashov, Nikolay A.; Ryabov, Pavel N.
2014
Analytical and numerical studying of the perturbed Korteweg-de Vries equation. Zbl 1366.35158
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2014
Quasi-exact solutions of the equation for description of nonlinear waves in a liquid with gas bubbles. Zbl 1310.76165
Kochanov, Mark B.; Kudryashov, Nikolay A.
2014
Painlevé analysis and exact solutions for the Belousov-Zhabotinskii reaction-diffusion system. Zbl 1348.35112
Kudryashov, Nikolay A.; Zakharchenko, Anastasia S.
2014
Elliptic solutions in the Hénon-Heiles model. Zbl 1470.34003
Demina, Maria V.; Kudryashov, Nikolay A.
2014
Generalization of the simplest equation method for nonlinear non-autonomous differential equations. Zbl 1470.34002
Antonova, Anastasia O.; Kudryashov, Nikolay A.
2014
Polynomials in logistic function and solitary waves of nonlinear differential equations. Zbl 1297.35076
Kudryashov, Nikolay A.
2013
Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. Zbl 1290.35228
Kudryashov, Nikolay A.
2013
Relative equilibrium configurations of point vortices on a sphere. Zbl 1274.76178
Demina, Maria V.; Kudryashov, Nikolai A.
2013
An extended equation for the description of nonlinear waves in a liquid with gas bubbles. Zbl 1454.76097
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2013
Non-linear waves on shallow water under an ice cover. Higher order expansions. Zbl 1282.76077
Kochanov, M. B.; Kudryashov, N. A.; Sinel&rsquo;shchikov, D. I.
2013
One method for finding exact solutions of nonlinear differential equations. Zbl 1250.35055
Kudryashov, Nikolay A.
2012
Exact solutions of the Swift-Hohenberg equation with dispersion. Zbl 1245.35095
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2012
Vortices and polynomials: non-uniqueness of the Adler-Moser polynomials for the Tkachenko equation. Zbl 1245.35016
Demina, Maria V.; Kudryashov, Nikolai A.
2012
Elliptic traveling waves of the Olver equation. Zbl 1248.35162
Kudryashov, Nikolai A.; Soukharev, Mikhail B.; Demina, Maria V.
2012
Nonlinear differential equations of the second, third and fourth order with exact solutions. Zbl 1259.34006
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2012
Equation for the three-dimensional nonlinear waves in liquid with gas bubbles. Zbl 1263.76073
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2012
Quasi-exact solutions of nonlinear differential equations. Zbl 1295.34005
Kudryashov, Nikolay A.; Kochanov, Mark B.
2012
Point vortices and classical orthogonal polynomials. Zbl 1257.33048
Demina, Maria V.; Kudryashov, Nikolai A.
2012
Special polynomials associated with the Burgers hierarchy. Zbl 1430.35198
Kudryashov, Nikolay A.
2012
Elliptic solutions for a family of fifth order nonlinear evolution equations. Zbl 1246.35079
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2012
Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations. Zbl 1221.34233
Demina, Maria V.; Kudryashov, Nikolay A.
2011
Exact solutions of the generalized Bretherton equation. Zbl 1242.37054
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.; Demina, Maria V.
2011
On elliptic solutions of nonlinear ordinary differential equations. Zbl 1220.65090
Demina, Maria V.; Kudryashov, Nikolai A.
2011
Point vortices and polynomials of the Sawada-Kotera and Kaup-Kupershmidt equations. Zbl 1264.35186
Demina, Maria V.; Kudryashov, Nikolai A.
2011
A note on the Lie symmetry analysis and exact solutions for the extended mKdV equation. Zbl 1209.34111
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2011
Nonlinear waves in media with fifth order dispersion. Zbl 1242.74002
Kudryashov, Nikolai A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I.
2011
Exact solutions of the generalized $$K(m, m)$$ equations. Zbl 1221.35345
Kudryashov, Nikolay A.; Prilipko, Svetlana G.
2011
Nonlinear evolution equation for describing waves in a viscoelastic tube. Zbl 1221.74044
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
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 1222.35171
Kudryashov, Nikolay A.; Ryabov, Pavel N.
2011
Properties of nonlinear waves in an actively-dissipative dispersive medium. Zbl 1235.76031
Kudryashov, N. A.; Ryabov, P. N.
2011
Redundant exact solutions of nonlinear differential equations. Zbl 1244.35030
Kudryashov, Nikolay A.
2011
A note on solutions of the Korteweg-de Vries hierarchy. Zbl 1222.65086
Kudryashov, Nikolay A.
2011
Meromorphic solutions of nonlinear ordinary differential equations. Zbl 1222.35160
Kudryashov, Nikolai A.
2010
A note on the $$G'/G$$-expansion method. Zbl 1203.35228
Kudryashov, Nikolai A.
2010
From Laurent series to exact meromorphic solutions: The Kawahara equation. Zbl 1238.34020
Demina, Maria V.; Kudryashov, Nikolay A.
2010
Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer. Zbl 1236.76075
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2010
Nonlinear waves in liquids with gas bubbles with account of viscosity and heat transfer. Zbl 1215.76103
Kudryashov, N. A.; Sinel&rsquo;shchikov, D. I.
2010
A note on new exact solutions for the Kawahara equation using Exp-function method. Zbl 1194.65119
Kudryashov, Nikolai A.
2010
Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration. Zbl 1273.76407
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I.
2010
Soliton, rational and special solutions of the Korteweg-de Vries hierarchy. Zbl 1203.35229
Kudryashov, Nikolai A.
2010
A note on “Abundant new exact solutions for the $$(3+1)$$-dimensional Jimbo-Miwa equation”. Zbl 1204.35071
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2010
A note on “New kink-shaped solutions and periodic wave solutions for the $$(2 + 1)$$-dimensional sine-Gordon equation”. Zbl 1200.35262
Kudryashov, Nikolay A.; Ryabov, Pavel N.; Sinelshchikov, Dmitry I.
2010
A new note on exact complex travelling wave solutions for $$(2+1)$$-dimensional B-type Kadomtsev-Petviashvili equation. Zbl 1202.35230
Kudryashov, Nikolay A.
2010
Seven common errors in finding exact solutions of nonlinear differential equations. Zbl 1221.35342
Kudryashov, Nikolai A.
2009
...and 73 more Documents
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
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### 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. A 13 Abstract and Applied Analysis 13 Advances in Mathematical Physics 12 Chaos 10 Theoretical and Mathematical Physics 9 Journal of Mathematical Physics 9 Computational Mathematics and Mathematical Physics 9 Journal of Nonlinear Mathematical Physics 9 Advances in Difference Equations 8 Journal of Computational and Applied Mathematics 7 Journal of Applied Mathematics and Mechanics 6 Reports on Mathematical Physics 6 Applied Mathematical Modelling 6 Differential Equations 6 Journal of Applied Mathematics 5 Studies in Applied Mathematics 5 Physica D 5 Numerical Methods for Partial Differential Equations 5 Computational and Applied Mathematics 5 Journal of the Egyptian Mathematical Society 5 Nonlinear Analysis. Real World Applications 5 Discrete and Continuous Dynamical Systems. Series S 5 Nelineĭnaya Dinamika 4 Physica A 4 Journal of Geometry and Physics 4 Journal of Theoretical and Applied Mechanics (Sofia) 4 Prikladnaya Matematika i Mekhanika 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Complexity 4 Qualitative Theory of Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series B 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Function Spaces 3 Journal of Fluid Mechanics 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Ricerche di Matematica 3 International Journal of Computer Mathematics 3 Fractals 3 Journal of Mathematical Chemistry 3 Doklady Mathematics 3 Differential Equations and Dynamical Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Entropy 3 Analysis and Mathematical Physics 3 East Asian Journal on Applied Mathematics 3 Open Mathematics 3 AIMS Mathematics 2 Computers and Fluids 2 Nonlinearity 2 Wave Motion 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Differential Equations 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Siberian Mathematical Journal 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Scientific Computing 2 Numerical Algorithms 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Journal of Inequalities and Applications 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics and Computing 2 Statistical Applications in Genetics and Molecular Biology 2 Computational Biology and Chemistry 2 International Journal of Computational Methods 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Asian-European Journal of Mathematics 2 Communications in Theoretical Physics 2 Symmetry 2 Journal of Theoretical Biology 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Applied Mathematics and Nonlinear Sciences 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics ...and 57 more Serials
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### Cited in 44 Fields

 556 Partial differential equations (35-XX) 167 Ordinary differential equations (34-XX) 134 Dynamical systems and ergodic theory (37-XX) 94 Fluid mechanics (76-XX) 79 Numerical analysis (65-XX) 43 Biology and other natural sciences (92-XX) 28 Special functions (33-XX) 28 Optics, electromagnetic theory (78-XX) 20 Functions of a complex variable (30-XX) 19 Mechanics of deformable solids (74-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Quantum theory (81-XX) 14 Mechanics of particles and systems (70-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Probability theory and stochastic processes (60-XX) 10 Computer science (68-XX) 9 Real functions (26-XX) 6 Difference and functional equations (39-XX) 5 Topological groups, Lie groups (22-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX)

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