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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Page 1316
DOI: https://doi.org/10.31857/S0044466923080057 (Mi zvmmf11601) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Partial Differential Equations

Application of IBSEF method to Chaffee–Infante equation in $(1 + 1)$ and $(2 + 1)$ dimensions

U. Demirbileka, Kh. R. Mamedovb

a Department of Mathematics, Mersin University, 33110 Mersin, Turkiye
b Department of Mathematics, Igdir University, 76000 Igdir, Turkiye
Citations (7)
DOI: https://doi.org/10.31857/S0044466923080057
Abstract: In this work, Improved Bernoulli Sub-Equation Function (IBSEF) method is proposed to seek solitary solutions of nonlinear differential equations. Chaffee–Infante equations are chosen to illustrate the effectiveness and convenience of the suggested method. Abundant new and more general exact solutions are obtained of these equations. As a result, by selecting the suitable parameters, two and three dimensional surfaces and contour plots of the results are drawn with the help of the software program.
Key words: Chaffee–Infante equations, IBSEF method, wave solutions.
Received: 04.04.2023
Revised: 04.04.2023
Accepted: 28.04.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1444–1451
DOI: https://doi.org/10.1134/S0965542523080067
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: U. Demirbilek, Kh. R. Mamedov, “Application of IBSEF method to Chaffee–Infante equation in $(1 + 1)$ and $(2 + 1)$ dimensions”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1316; Comput. Math. Math. Phys., 63:8 (2023), 1444–1451
Citation in format AMSBIB
\Bibitem{DemMam23}
\by U.~Demirbilek, Kh.~R.~Mamedov
\paper Application of IBSEF method to Chaffee--Infante equation in $(1 + 1)$ and $(2 + 1)$ dimensions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1316
\mathnet{http://mi.mathnet.ru/zvmmf11601}
\crossref{https://doi.org/10.31857/S0044466923080057}
\elib{https://elibrary.ru/item.asp?id=54270659}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1444--1451
\crossref{https://doi.org/10.1134/S0965542523080067}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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