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Rakhmelevich, Igor Vladimirovich
Associate professor
Candidate of technical sciences
E-mail: ,

https://www.mathnet.ru/eng/person75762
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2024
1. I. V. Rakhmelevich, “On Laplace invariants of two-dimensional nonlinear equations of the second order with homogeneous polynomial”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 8,  55–64  mathnet; Russian Math. (Iz. VUZ), 68:8 (2024), 47–55 1
2. I. V. Rakhmelevich, “System of two-dimensional Monge–Ampere equations: reductions and exact solutions”, Vladikavkaz. Mat. Zh., 26:4 (2024),  121–136  mathnet; 66, no. 4, 2025, 1090–1102 3
3. I. V. Rakhmelevich, “On Laplace invariants of a two-dimensional hyperbolic equation with mixed derivative and quadratic nonlinearities”, Vladikavkaz. Mat. Zh., 26:2 (2024),  113–121  mathnet; 65, no. 6, 2024, 1468–1474
2023
4. I. V. Rakhmelevich, “Non-autonomous evolutionary equation of Monge–Ampere type with two space variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 2,  66–80  mathnet; Russian Math. (Iz. VUZ), 67:2 (2023), 52–64 8
5. I. V. Rakhmelevich, “Multi-dimensional non-autonomous evolutionary equation of Monge–Ampère type”, Vladikavkaz. Mat. Zh., 25:1 (2023),  64–80  mathnet  mathscinet; 65, no. 4, 2024, 958–970 1
2022
6. I. V. Rakhmelevich, “Multi-dimensional second-order differentialequations with quadratic form on the first derivatives”, Mathematical notes of NEFU, 29:1 (2022),  56–68  mathnet
2021
7. I. V. Rakhmelevich, “Modified Bianchi equation with nonlinear right-hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10,  51–59  mathnet; Russian Math. (Iz. VUZ), 65:10 (2021), 44–51
8. I. V. Rakhmelevich, “A multi-dimensional non-autonomous non-linear partial differential equation with senior partial derivative”, Mathematical notes of NEFU, 28:1 (2021),  37–50  mathnet  elib
9. I. V. Rakhmelevich, “On multiplicative multi-dimensional partial differential equations”, Vladikavkaz. Mat. Zh., 23:1 (2021),  43–59  mathnet  elib
2020
10. I. V. Rakhmelevich, “Multi-dimensional non-autonomous second order equation with power nonlinearities”, Applied Mathematics & Physics, 52:2 (2020),  93–104  mathnet
11. I. V. Rakhmelevich, “On multidimensional determinant differential-operator equations”, Vladikavkaz. Mat. Zh., 22:2 (2020),  53–69  mathnet
2019
12. I. V. Rakhmelevich, “Two-dimensional non-autonomous hyperbolic equation with quadratic polynomial on first derivatives”, Applied Mathematics & Physics, 51:3 (2019),  402–416  mathnet
13. I. V. Rakhmelevich, “Two-dimensional determinant differential-operator equation”, Applied Mathematics & Physics, 51:2 (2019),  163–173  mathnet
2017
14. I. V. Rakhmelevich, “On multi-dimensional partial differential equations with power nonlinearities in first derivatives”, Ufimsk. Mat. Zh., 9:1 (2017),  98–108  mathnet  elib; Ufa Math. J., 9:1 (2017), 98–108  isi  scopus 6
15. I. V. Rakhmelevich, “Two-dimensional non-autonomous hyperbolic equation of the second order with power-law nonlinearities”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 49,  52–60  mathnet  elib
2016
16. I. V. Rakhmelevich, “On reduction of multidimensional first order equations with multihomogeneous function of derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4,  57–67  mathnet; Russian Math. (Iz. VUZ), 60:4 (2016), 47–55  isi  scopus 3
17. I. V. Rakhmelevich, “On the solutions type of aggregated travelling waves for linear partial differential equations with variable coefficients”, Applied Mathematics & Physics, 43:13 (2016),  30–38  mathnet
18. I. V. Rakhmelevich, “On the solutions of multi-dimensional arbitrary order differential equation with mixed senior partial derivative and power-law non-linearities”, Vladikavkaz. Mat. Zh., 18:4 (2016),  41–49  mathnet 4
19. I. V. Rakhmelevich, “On solutions of the Monge–Ampere equation with power-law non-linearity with respect to first derivatives”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2016, no. 4(42),  33–43  mathnet  elib 4
2015
20. I. V. Rakhmelevich, “On some new solutions of the multi-dimensional first order partial differential equation with power-law non-linearities”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 3(35),  18–25  mathnet  elib 5
21. I. V. Rakhmelevich, “On two-dimensional hyperbolic equations with power-law non-linearity in the derivatives”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2015, no. 1(33),  12–19  mathnet  elib 8
2014
22. I. V. Rakhmelevich, “On the Solutions of Multi-dimensional Clairaut Equation with Multi-homogeneous Function of the Derivatives”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  374–381  mathnet  elib 5
23. I. V. Rakhmelevich, “On equations of mathematical physics containing multi-homogeneous functions of derivatives”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2014, no. 1(27),  42–50  mathnet 6
2013
24. I. V. Rakhmelevich, “On application of the variable separation method to mathematical physics equations containing homogeneous functions of derivatives”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2013, no. 3(23),  37–44  mathnet 8

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