Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions

Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions

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 solution...

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Veröffentlicht in:Computational mathematics and mathematical physics 2023-08, Vol.63 (8), p.1444-1451
Hauptverfasser: Demirbilek, U., Mamedov, Kh. R.
Format: Artikel
Sprache:eng
Schlagworte:
Computational Mathematics and Numerical Analysis
Exact solutions
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Partial Differential Equations
Software
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Zusammenfassung: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542523080067