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ORCIDAndrei D. Polyanin
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Journal Articles
- 2022
[j19]Andrei D. Polyanin
, Vsevolod G. Sorokin:
Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays. Appl. Math. Lett. 125: 107731 (2022)- 2021
- [j18]Andrei D. Polyanin, Vsevolod G. Sorokin:
Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay. Commun. Nonlinear Sci. Numer. Simul. 95: 105634 (2021) - 2020
- [j17]Andrei D. Polyanin, Alexei I. Zhurov:
Separation of variables in PDEs using nonlinear transformations: Applications to reaction-diffusion type equations. Appl. Math. Lett. 100 (2020) - [j16]Andrei D. Polyanin, Vsevolod G. Sorokin:
New exact solutions of nonlinear wave type PDEs with delay. Appl. Math. Lett. 108: 106512 (2020) - 2019
- [j15]Andrei D. Polyanin:
Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients. Appl. Math. Comput. 347: 282-292 (2019) - [j14]Andrei D. Polyanin:
Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients. Appl. Math. Lett. 90: 49-53 (2019) - [j13]Andrei D. Polyanin:
Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients. Commun. Nonlinear Sci. Numer. Simul. 73: 379-390 (2019) - 2018
- [j12]Andrei D. Polyanin, Inna K. Shingareva:
Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints. Appl. Math. Comput. 336: 107-137 (2018) - [j11]Andrei D. Polyanin, Inna K. Shingareva:
Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations. Appl. Math. Lett. 76: 123-129 (2018) - [j10]Andrei D. Polyanin, Inna K. Shingareva:
Hypersingular nonlinear boundary-value problems with a small parameter. Appl. Math. Lett. 81: 93-98 (2018) - 2017
- [j9]Andrei D. Polyanin, Alexei I. Zhurov:
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods. Appl. Math. Lett. 64: 59-66 (2017) - 2016
- [j8]Andrei D. Polyanin, Alexei I. Zhurov:
Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics. Appl. Math. Lett. 55: 72-80 (2016) - [j7]Andrei D. Polyanin, Alexei I. Zhurov:
Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations. Commun. Nonlinear Sci. Numer. Simul. 31(Issues): 11-20 (2016) - 2015
- [j6]Andrei D. Polyanin, Vsevolod G. Sorokin:
Nonlinear delay reaction-diffusion equations: Traveling-wave solutions in elementary functions. Appl. Math. Lett. 46: 38-43 (2015) - 2014
- [j5]Andrei D. Polyanin, Alexei I. Zhurov:
Nonlinear delay reaction-diffusion equations with varying transfer coefficients: Exact methods and new solutions. Appl. Math. Lett. 37: 43-48 (2014) - [j4]Andrei D. Polyanin, Alexei I. Zhurov:
Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations. Commun. Nonlinear Sci. Numer. Simul. 19(3): 409-416 (2014) - [j3]Andrei D. Polyanin, Alexei I. Zhurov:
Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations. Commun. Nonlinear Sci. Numer. Simul. 19(3): 417-430 (2014) - [j2]Andrei D. Polyanin, Alexei I. Zhurov:
Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations. Commun. Nonlinear Sci. Numer. Simul. 19(8): 2676-2689 (2014) - 2008
- [j1]Andrei D. Polyanin, William E. Schiesser, Alexei I. Zhurov:
Partial differential equation. Scholarpedia 3(10): 4605 (2008)
Informal and Other Publications
- 2024
- [i4]Inna K. Shingareva, Andrei D. Polyanin:
Notes on symmetries and reductions of algebraic equations. CoRR abs/2407.17995 (2024) - 2022
- [i3]Andrei D. Polyanin, Inna K. Shingareva:
The similarity index of scientific publications with equations and formulas, identification of self-plagiarism, and testing of the iThenticate system. CoRR abs/2201.09062 (2022) - 2021
- [i2]Andrei D. Polyanin, Inna K. Shingareva:
The similarity index of mathematical and other scientific publications with equations and formulas and the problem of self-plagiarism identification. CoRR abs/2110.03872 (2021) - 2018
- [i1]Andrei D. Polyanin, Inna K. Shingareva:
Hypersingular nonlinear boundary-value problems with a small parameter. CoRR abs/1802.04658 (2018)
Coauthor Index
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