For citation:
Artamonov N. A. Modification of the inverted series method for constructing exact solutions to equations of nonlinear mathematical physics. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2026, vol. 26, iss. 2, pp. 160-164. DOI: 10.18500/1816-9791-2026-26-2-160-164, EDN: ADJGNO
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
01.06.2026
Full text:
(downloads: 13)
Language:
Russian
Heading:
Article type:
Short communication
UDC:
530.182:517.912:517.929
EDN:
ADJGNO
Modification of the inverted series method for constructing exact solutions to equations of nonlinear mathematical physics
Autors:
Artamonov Nikolay A., Yuri Gagarin State Technical University of Saratov
Abstract:
This paper proposes a modification of the inverted series method that expands the classes of exact solutions it identifies for nonlinear differential equations in mathematical physics. The effectiveness of the modified method is demonstrated using examples of solving the integrable Tzitzeica equation and the nonintegrable Fisher equation.
References:
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- Bochkarev A. V., Zemlyanukhin A. I. The geometric series method for constructing exact solutions to nonlinear evolution equations. Computational Mathematics and Mathematical Physics, 2017, vol. 57, iss. 7, pp. 1111–1123. DOI: https://doi.org/10.1134/S0965542517070065, EDN: XOUKKK
- Zemlyanukhin A. I., Artamonov N. A., Bochkarev A. V., Bezlyudny V. I. Power series reversion and exact solutions of nonlinear mathematical physics equations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2025, vol. 33, iss. 6, pp. 929–942. DOI: https://doi.org/10.18500/0869-6632-003180, EDN: XEHQXM (in Russian).
Received:
10.01.2026
Accepted:
26.01.2026
Published:
01.06.2026
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