Samoilenko Valerii
Publications
MONOGRAPHS
1. Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis, Singapore: World Scientific, 2011, pp. 1–543 (with Blackmore D., and Prykarpatsky A.)
2. Integrable Dynamical Systems: Spectral and Algebra-Geometric Aspects, Kyiv, Naukova Dumka, 1987, pp. 1–296 (with Mitropols’kii Yu., Bogolyubov N., and Prykarpatsky A.)
LIST of MAIN PUBLICATIONS:
1. Asymptotic solutions of singular perturbed linear differential0algebraic equations with periodic coefficients, In: Matematychni Studii, 2023, 59(2), pp.187-200 (with Radchenko S.P., Samusenko P.Ph.)
https://doi.org/10.30970/ms.59.2.187-200
2. Asymptotic step-like solutions of the singular perturbed Burger equation, In: Physics of Fluids, 2023, 35(6), https://doi.org/10.1063/5.0150685 (with Samoilenko Yu., Zappale E.)
3. Asymptotic soliton-like solutions to the Benjamin–Bona–Mahony equation with variable coefficients and a strong singularity, In: Journal of Mathematical Sciences, 2021, 258(3), pp. 326 – 337 (with Samoilenko Yuliia)
https://doi.org/10.1007/s10958-021-05550-9
4. Asymptotic stepwise solutions of the Korteweg-de Vries equation with a singular perturbation and their accuracy, In: Mathematical Modeling and Computing, 2021, 8(3), pp. 410 – 421 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.23939/mmc2021.03.410
5. Asymptotic analysis of the Korteweg-de Vries equation by the nonlinear WKB technique, In: Mathematical Modeling and Computing, 2021, 8(3), pp. 368 – 378 (with Samoilenko Yu., Lyashko S.I., et al.)
https://doi.org/10.23939/mmc2021.03.368
6. Global asymptotic step-type solutions to singularly perturbed korteweg-de vries equation with variable coefficients. In: Journal of Automation and Information Sciences, 2021, 52(9), pp. 27–38 (with Samoilenko Yu., Lyashko S.I., et al.) DOI: 10.1615/JAutomatInfScien.v52.i9.30
7. Quantum current algebra symmetry and description of Boltzmann type kinetic equations in statistical physics. In: Symmetry, 2021, 13(8), 1452 (With Ivankiv L., PrykarpatskyYa., et al.) https://doi.org/10.3390/sym13081452
8. Existence of solutions to inhomogeneous higher order differential equation in the Schwartz space, In: Journal of Mathematical Physics, Analysis, Geometry, 2020, 16(4), pp. 454 – 459 (with Samoilenko Yuliia) https://doi.org/10.15407/mag16.04.454
9. Global asymptotic step-like solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients, In: Journal of Automation and Information Sciences, 2020, 56(5), pp. 86 – 96 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.23939/mmc2021.03.410
10. Stepwise asymptotic solutions to the Korteweg–de Vries equation with variable coefficients and a small parameter at the higher-order derivative, In: Cybernetics and Systems Analysis, 2020, 56(6), pp. 934–942 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.1007/s10559-020-00313-x
11. Estimates of accuracy for asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation, In: Nonlinear Dynamics and Systems Theory, 2020, 20(1), pp. 92 – 106 (with Samoilenko Yu., Vovk L.) https://www.e-ndst.kiev.ua/v20n1.htm
12. Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, In: Journal of Mathematical Physics, 2019, 60(1) (with Samoilenko Yuliia)
https://doi.org/10.1063/1.5085291
13. Asymptotic solutions of soliton type of the Korteweg-de Vries equation with variable coefficients and singular perturbation, In: Mathematical Modeling and Computing, 2019, 6(2), pp.374 – 385 (with Samoilenko Yu.I., et al.) https://doi.org/10.23939/mmc2019.02.374
14. Asymptotic Σ-solutions of a singularly perturbed Benjamin–Bona–Mahony equation with variable coefficients, In: Ukrainian Mathematical Journal, 2018, 70(3), pp. 266–287 (with Samoilenko Yuliia)
https://doi.org/10.1007/s11253-018-1500-5
1. Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis, Singapore: World Scientific, 2011, pp. 1–543 (with Blackmore D., and Prykarpatsky A.)
2. Integrable Dynamical Systems: Spectral and Algebra-Geometric Aspects, Kyiv, Naukova Dumka, 1987, pp. 1–296 (with Mitropols’kii Yu., Bogolyubov N., and Prykarpatsky A.)
LIST of MAIN PUBLICATIONS:
1. Asymptotic solutions of singular perturbed linear differential0algebraic equations with periodic coefficients, In: Matematychni Studii, 2023, 59(2), pp.187-200 (with Radchenko S.P., Samusenko P.Ph.)
https://doi.org/10.30970/ms.59.2.187-200
2. Asymptotic step-like solutions of the singular perturbed Burger equation, In: Physics of Fluids, 2023, 35(6), https://doi.org/10.1063/5.0150685 (with Samoilenko Yu., Zappale E.)
3. Asymptotic soliton-like solutions to the Benjamin–Bona–Mahony equation with variable coefficients and a strong singularity, In: Journal of Mathematical Sciences, 2021, 258(3), pp. 326 – 337 (with Samoilenko Yuliia)
https://doi.org/10.1007/s10958-021-05550-9
4. Asymptotic stepwise solutions of the Korteweg-de Vries equation with a singular perturbation and their accuracy, In: Mathematical Modeling and Computing, 2021, 8(3), pp. 410 – 421 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.23939/mmc2021.03.410
5. Asymptotic analysis of the Korteweg-de Vries equation by the nonlinear WKB technique, In: Mathematical Modeling and Computing, 2021, 8(3), pp. 368 – 378 (with Samoilenko Yu., Lyashko S.I., et al.)
https://doi.org/10.23939/mmc2021.03.368
6. Global asymptotic step-type solutions to singularly perturbed korteweg-de vries equation with variable coefficients. In: Journal of Automation and Information Sciences, 2021, 52(9), pp. 27–38 (with Samoilenko Yu., Lyashko S.I., et al.) DOI: 10.1615/JAutomatInfScien.v52.i9.30
7. Quantum current algebra symmetry and description of Boltzmann type kinetic equations in statistical physics. In: Symmetry, 2021, 13(8), 1452 (With Ivankiv L., PrykarpatskyYa., et al.) https://doi.org/10.3390/sym13081452
8. Existence of solutions to inhomogeneous higher order differential equation in the Schwartz space, In: Journal of Mathematical Physics, Analysis, Geometry, 2020, 16(4), pp. 454 – 459 (with Samoilenko Yuliia) https://doi.org/10.15407/mag16.04.454
9. Global asymptotic step-like solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients, In: Journal of Automation and Information Sciences, 2020, 56(5), pp. 86 – 96 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.23939/mmc2021.03.410
10. Stepwise asymptotic solutions to the Korteweg–de Vries equation with variable coefficients and a small parameter at the higher-order derivative, In: Cybernetics and Systems Analysis, 2020, 56(6), pp. 934–942 (with Samoilenko Yu., Lyashko S.I., et al.) https://doi.org/10.1007/s10559-020-00313-x
11. Estimates of accuracy for asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation, In: Nonlinear Dynamics and Systems Theory, 2020, 20(1), pp. 92 – 106 (with Samoilenko Yu., Vovk L.) https://www.e-ndst.kiev.ua/v20n1.htm
12. Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, In: Journal of Mathematical Physics, 2019, 60(1) (with Samoilenko Yuliia)
https://doi.org/10.1063/1.5085291
13. Asymptotic solutions of soliton type of the Korteweg-de Vries equation with variable coefficients and singular perturbation, In: Mathematical Modeling and Computing, 2019, 6(2), pp.374 – 385 (with Samoilenko Yu.I., et al.) https://doi.org/10.23939/mmc2019.02.374
14. Asymptotic Σ-solutions of a singularly perturbed Benjamin–Bona–Mahony equation with variable coefficients, In: Ukrainian Mathematical Journal, 2018, 70(3), pp. 266–287 (with Samoilenko Yuliia)
https://doi.org/10.1007/s11253-018-1500-5