U. Demirbilek, Kh. R. Mamedov, “Application of IBSEF method to Chaffee–Infante equation in <nobr>$(1 + 1)$</nobr> and <nobr>$(2 + 1)$</nobr> dimensions”, Zh. Vychisl. Mat. Mat. Fiz., 2023, Volume 63, Number 8,Page 1316

This article is cited in 21 papers

Partial Differential Equations

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

U. Demirbilek^a, Kh. R. Mamedov^b

^a Department of Mathematics, Mersin University, 33110 Mersin, Turkiye
^b Department of Mathematics, Igdir University, 76000 Igdir, Turkiye

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.

UDC: 519.63

Received: 04.04.2023
Revised: 04.04.2023
Accepted: 28.04.2023

Language: English

DOI: 10.31857/S0044466923080057