Partial differential equation. - Andrei D. Polyanin; William E. Schiesser; Alexei I. Zhurov (Scholarpedia, 2008)

Nonlinear delay reaction-diffusion equations with varying transfer coefficients: Exact methods and new solutions. - Andrei D. Polyanin; Alexei I. Zhurov (Appl. Math. Lett., 2014)

Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations. - Andrei D. Polyanin; Alexei I. Zhurov (Commun. Nonlinear Sci. Numer. Simul., 2014)

Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations. - Andrei D. Polyanin; Alexei I. Zhurov (Commun. Nonlinear Sci. Numer. Simul., 2014)

Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations. - Andrei D. Polyanin; Alexei I. Zhurov (Commun. Nonlinear Sci. Numer. Simul., 2014)

Nonlinear delay reaction-diffusion equations: Traveling-wave solutions in elementary functions. - Andrei D. Polyanin; Vsevolod G. Sorokin (Appl. Math. Lett., 2015)

Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics. - Andrei D. Polyanin; Alexei I. Zhurov (Appl. Math. Lett., 2016)

Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations. - Andrei D. Polyanin; Alexei I. Zhurov (Commun. Nonlinear Sci. Numer. Simul., 2016)

Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods. - Andrei D. Polyanin; Alexei I. Zhurov (Appl. Math. Lett., 2017)

Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints. - Andrei D. Polyanin; Inna K. Shingareva (Appl. Math. Comput., 2018)

Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations. - Andrei D. Polyanin; Inna K. Shingareva (Appl. Math. Lett., 2018)

Hypersingular nonlinear boundary-value problems with a small parameter. - Andrei D. Polyanin; Inna K. Shingareva (Appl. Math. Lett., 2018)

Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients. - Andrei D. Polyanin (Appl. Math. Comput., 2019)

Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients. - Andrei D. Polyanin (Appl. Math. Lett., 2019)

Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients. - Andrei D. Polyanin (Commun. Nonlinear Sci. Numer. Simul., 2019)

New exact solutions of nonlinear wave type PDEs with delay. - Andrei D. Polyanin; Vsevolod G. Sorokin (Appl. Math. Lett., 2020)

Separation of variables in PDEs using nonlinear transformations: Applications to reaction-diffusion type equations. - Andrei D. Polyanin; Alexei I. Zhurov (Appl. Math. Lett., 2020)

Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay. - Andrei D. Polyanin; Vsevolod G. Sorokin (Commun. Nonlinear Sci. Numer. Simul., 2021)

The similarity index of mathematical and other scientific publications with equations and formulas and the problem of self-plagiarism identification. - Andrei D. Polyanin; Inna K. Shingareva (CoRR, 2021)

Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays. - Andrei D. Polyanin; Vsevolod G. Sorokin (Appl. Math. Lett., 2022)

The similarity index of scientific publications with equations and formulas, identification of self-plagiarism, and testing of the iThenticate system. - Andrei D. Polyanin; Inna K. Shingareva (CoRR, 2022)

Notes on symmetries and reductions of algebraic equations. - Inna K. Shingareva; Andrei D. Polyanin (CoRR, 2024)

Nonlinear Schrödinger equations of general form and their exact solutions. - Nikolay A. Kudryashov; Andrei D. Polyanin (Appl. Math. Lett., 2025)

Exact solutions and reductions of nonlinear Schrödinger equations with delay. - Andrei D. Polyanin; Nikolay A. Kudryashov (J. Comput. Appl. Math., 2025)