Application of REDUCE System for Analyzing Consistency of Systems of P.D.E.'s. - Victor G. Ganzha; Sergey V. Meleshko; V. P. Shelest (ISSAC, 1990)

A new approach related with group analysis and hodograph type transformation for constructing exact solutions. - A. Hematulin; Sergey V. Meleshko (Math. Comput. Simul., 2005)

Complete group classification of systems of two linear second-order ordinary differential equations. - Sibusiso Moyo; Sergey V. Meleshko; G. F. Oguis (Commun. Nonlinear Sci. Numer. Simul., 2013)

Group classification of ODE y‴=F(x, y, y′). - A. A. Gainetdinova; Nail H. Ibragimov; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2014)

On group classification of normal systems of linear second-order ordinary differential equations. - Sergey V. Meleshko; Sibusiso Moyo (Commun. Nonlinear Sci. Numer. Simul., 2015)

Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term. - Amornrat Suriyawichitseranee; Yurii N. Grigoriev; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2015)

Exact solutions of population balance equation. - Fubiao Lin; Adrian E. Flood; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2016)

Symmetries of population balance equations for aggregation, breakage and growth processes. - Fubiao Lin; Sergey V. Meleshko; Adrian E. Flood (Appl. Math. Comput., 2017)

Linearization criteria for systems of two second-order stochastic ordinary differential equations. - Thembisile Gloria Mkhize; Keshlan S. Govinder; Sibusiso Moyo; Sergey V. Meleshko (Appl. Math. Comput., 2017)

Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation. - Feng-Shan Long; Adisak Karnbanjong; Amornrat Suriyawichitseranee; Yurii N. Grigoriev; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2017)

Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y). - G. F. Oguis; Sibusiso Moyo; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2017)

Group properties of the extended Green-Naghdi equations. - Piyanuch Siriwat; Sergey V. Meleshko (Appl. Math. Lett., 2018)

Exact solutions of the population balance equation including particle transport, using group analysis. - Fubiao Lin; Sergey V. Meleshko; Adrian E. Flood (Commun. Nonlinear Sci. Numer. Simul., 2018)

One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes. - Vladimir A. Dorodnitsyn; Roman Kozlov; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2019)

Symmetries of the shallow water equations in the Boussinesq approximation. - Prakrong Voraka; Chompit Kaewmanee; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2019)

Comment on 'Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models'. - Sergey V. Meleshko (Comput. Phys. Commun., 2019)

Complete group classification of the two-Dimensional shallow water equations with constant coriolis parameter in Lagrangian coordinates. - Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2020)

Group classification of the two-dimensional shallow water equations with the beta-plane approximation of coriolis parameter in Lagrangian coordinates. - Sergey V. Meleshko; Nagiza F. Samatova (Commun. Nonlinear Sci. Numer. Simul., 2020)

One-dimensional flows of a polytropic gas: Lie group classification, conservation laws, invariant and conservative difference schemes. - Vladimir A. Dorodnitsyn; Roman Kozlov; Sergey V. Meleshko (CoRR, 2020)

Group Analysis of the Boundary Layer Equations in the Models of Polymer Solutions. - Sergey V. Meleshko; Vladislav V. Pukhnachev (Symmetry, 2020)

Solutions of generalized simple wave type of magnetic fluid. - Sergey V. Meleshko; Sibusiso Moyo; G. M. Webb (Commun. Nonlinear Sci. Numer. Simul., 2021)

Conservative invariant finite-difference schemes for the modified shallow water equations in Lagrangian coordinates. - Vladimir A. Dorodnitsyn; Evgenii I. Kaptsov; Sergey V. Meleshko (CoRR, 2021)

Exact Solutions of Boundary Layer Equations in Polymer Solutions. - Oksana A. Burmistrova; Sergey V. Meleshko; Vladislav V. Pukhnachev (Symmetry, 2021)

Group classification of one-dimensional equations of relativistic gas dynamics. - Warisa Nakpim; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2023)

Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. - Vladimir A. Dorodnitsyn; Evgenii I. Kaptsov; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2023)

Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation. - Evgenii I. Kaptsov; Vladimir A. Dorodnitsyn; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2023)

General solution of the Maxwell equations for the stagnation point problem with cylindrical symmetry for all values of the parameter in the Johnson-Segalman derivative. - C. Chittam; Sergey V. Meleshko (Commun. Nonlinear Sci. Numer. Simul., 2025)