On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium SM Grudsky, KV Khmelnytskaya, VV Kravchenko Journal of Physics A: Mathematical and General 37 (16), 4641, 2004 | 67 | 2004 |

Eigenvalue problems, spectral parameter power series, and modern applications KV Khmelnytskaya, VV Kravchenko, HC Rosu Mathematical methods in the applied sciences 38 (10), 1945-1969, 2015 | 55 | 2015 |

Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers RC Pérez, KV Khmelnytskaya, VV Kravchenko, HO Galdeano Journal of Optics A: Pure and Applied Optics 11 (6), 065707, 2009 | 34 | 2009 |

Spectral parameter power series for fourth-order Sturm–Liouville problems KV Khmelnytskaya, VV Kravchenko, JA Baldenebro-Obeso Applied mathematics and computation 219 (8), 3610-3624, 2012 | 33 | 2012 |

Spectral parameter power series representation for Hill’s discriminant KV Khmelnytskaya, HC Rosu Annals of Physics 325 (11), 2512-2521, 2010 | 31 | 2010 |

Wave polynomials, transmutations and Cauchy’s problem for the Klein–Gordon equation KV Khmelnytskaya, VV Kravchenko, SM Torba, S Tremblay Journal of mathematical analysis and applications 399 (1), 191-212, 2013 | 29 | 2013 |

Quaternionic fundamental solutions for electromagnetic scattering problems and application KV Khmelnytskaya, VV Kravchenko, VS Rabinovich Zeitschrift für Analysis und ihre Anwendungen 22 (1), 147-166, 2003 | 25 | 2003 |

Quaternionic integral representations for electromagnetic fields in chiral media KV Khmelnytskaya, VV Kravchenko, H Oviedo Telecommunications and Radio Engineering 56 (4&5), 2001 | 22 | 2001 |

The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series KV Khmelnytskaya, I Serroukh Mathematical methods in the applied sciences 36 (14), 1878-1891, 2013 | 20 | 2013 |

The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line BB Delgado, KV Khmelnytskaya, VV Kravchenko Mathematical Methods in the Applied Sciences 42 (18), 7359-7366, 2019 | 19 | 2019 |

Periodic Sturm–Liouville problems related to two Riccati equations of constant coefficients KV Khmelnytskaya, HC Rosu, A González Annals of Physics 325 (3), 596-606, 2010 | 17 | 2010 |

Shifted Riccati procedure: Application to conformal barotropic FRW cosmologies HC Rosu, KV Khmelnytskaya SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7, 013, 2011 | 15 | 2011 |

Reconstruction of potentials in quantum dots and other small symmetric structures KV Khmelnytskaya, TV Torchynska Mathematical methods in the applied sciences 33 (4), 469-472, 2010 | 15 | 2010 |

A practical method for solving the inverse quantum scattering problem on a half line AN Karapetyants, KV Khmelnytskaya, VV Kravchenko Journal of Physics: Conference Series 1540 (1), 012007, 2020 | 13 | 2020 |

An amplitude-phase (Ermakov–Lewis) approach for the Jackiw–Pi model of bilayer graphene KV Khmelnytskaya, HC Rosu Journal of Physics A: Mathematical and Theoretical 42 (4), 042004, 2008 | 13 | 2008 |

Spectral parameter power series method for discontinuous coefficients H Blancarte, HM Campos, KV Khmelnytskaya Mathematical Methods in the Applied Sciences 38 (10), 2000-2011, 2015 | 12 | 2015 |

A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications KV Khmelnytskaya, VV Kravchenko, SM Torba Applied Mathematics and Computation 353, 274-281, 2019 | 11 | 2019 |

A representation for Jost solutions and an efficient method for solving the spectral problem on the half line BB Delgado, KV Khmelnytskaya, VV Kravchenko Mathematical Methods in the Applied Sciences 43 (16), 9304-9319, 2020 | 10 | 2020 |

Transmutation operators: construction and applications VV Kravchenko, SM Torba, KV Khmelnytskaya arXiv preprint arXiv:1708.00505, 2017 | 10 | 2017 |

Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations KV Khmelnytskaya, VV Kravchenko, SM Torba Journal of Mathematical Physics 57 (5), 051503, 2016 | 9 | 2016 |