Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms R CHERNIHA, M SEROV European Journal of Applied Mathematics 9 (5), 527-542, 1998 | 96 | 1998 |

Lie symmetries of nonlinear multidimensional reaction–diffusion systems: II R Cherniha, JR King Journal of Physics A: Mathematical and General 36 (2), 405, 2002 | 92 | 2002 |

Lie symmetries of nonlinear multidimensional reaction-diffusion systems: I R Cherniha, JR King Journal of Physics A: Mathematical and General 33 (2), 267, 2000 | 89 | 2000 |

Lie symmetries and form-preserving transformations of reaction–diffusion–convection equations R Cherniha, M Serov, I Rassokha Journal of mathematical analysis and applications 342 (2), 1363-1379, 2008 | 65 | 2008 |

The Galilean relativistic principle and nonlinear partial differential equations WI Fushchich, RM Cherniha Journal of Physics A: Mathematical, Nuclear and General 18 (18), 3491-3503, 1985 | 57 | 1985 |

Non-linear reaction–diffusion systems with variable diffusivities: Lie symmetries, ansätze and exact solutions R Cherniha, JR King Journal of mathematical analysis and applications 308 (1), 11-35, 2005 | 54 | 2005 |

Galilei-invariant nonlinear systems of evolution equations WI Fushchych, RM Cherniha Journal of Physics A: Mathematical and General 28 (19), 5569, 1995 | 53 | 1995 |

New non-Lie ansätze and exact solutions of nonlinear reaction-diffusion-convection equations RM Cherniha Journal of Physics A: Mathematical and General 31 (40), 8179, 1998 | 50 | 1998 |

Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms, II R Cherniha, M Serov European Journal of Applied Mathematics 17 (5), 597, 2006 | 41 | 2006 |

A constructive method for obtaining new exact solutions of nonlinear evolution equations RM Cherniha Reports on Mathematical Physics 38 (3), 301-312, 1996 | 41 | 1996 |

Galilei invariant non-linear equations of schrödinger type and their exact solutions. I VI Fushchich, RM Cherniga Ukrainian Mathematical Journal 41 (10), 1161-1167, 1989 | 40 | 1989 |

The exotic conformal Galilei algebra and nonlinear partial differential equations R Cherniha, M Henkel Journal of Mathematical Analysis and Applications 369 (1), 120-132, 2010 | 39 | 2010 |

New conditional symmetries and exact solutions of nonlinear reaction–diffusion–convection equations R Cherniha, O Pliukhin Journal of Physics A: Mathematical and Theoretical 40 (33), 10049, 2007 | 38 | 2007 |

New Q-conditional symmetries and exact solutions of some reaction–diffusion–convection equations arising in mathematical biology R Cherniha Journal of mathematical analysis and applications 326 (2), 783-799, 2007 | 38 | 2007 |

Nonlinear reaction-diffusion-convection equations: Lie and conditional symmetry, exact solutions and their applications R Cherniha, M Serov, O Pliukhin CRC Press, 2017 | 37 | 2017 |

Nonlinear systems of the Burgers-type equations: Lie and Q-conditional symmetries, Ansätze and solutions R Cherniha, M Serov Journal of mathematical analysis and applications 282 (1), 305-328, 2003 | 35 | 2003 |

Lie symmetries of nonlinear boundary value problems R Cherniha, S Kovalenko Communications in Nonlinear Science and Numerical Simulation 17 (1), 71-84, 2012 | 33 | 2012 |

On non-linear partial differential equations with an infinite-dimensional conditional symmetry R Cherniha, M Henkel Journal of mathematical analysis and applications 298 (2), 487-500, 2004 | 29 | 2004 |

New conditional symmetries and exact solutions of reaction–diffusion–convection equations with exponential nonlinearities R Cherniha, O Pliukhin Journal of Mathematical Analysis and Applications 403 (1), 23-37, 2013 | 28 | 2013 |

Exact and numerical solutions of the generalized Fisher equation R Cherniha Reports on Mathematical Physics 47 (3), 393-411, 2001 | 28 | 2001 |