GENERALIZATION OF THE EXPLICIT DJEUMEN TCHAHO FORMULAS OF DECOMPOSITION AND NEW EXACT $\beta$-SOLITARY WAVE SOLUTIONS FOR THE GENERALIZED FISHER EQUATION
Keywords:
explicit Djeumen Tchaho formulas, $\beta$-solitary wave solutions, generalized Fisher equation, solitary wave characters, new principle of summationDOI:
https://doi.org/10.17654/0972111824010Abstract
Overall, rational fractions are considered. Based on these rational fractions, we have generalized the new explicit Djeumen Tchaho formulas of decomposition. It looms up that these formulas facilitate the decomposition of rational fractions whatever be the degrees of numerator and of denominator. This generalization made it possible to establish a new principle of summation. We have successfully applied this generalization to several rational fractions chosen arbitrarily. Certain new $\beta$-hyperbolic functions proposed from these formulas in previous works have made it possible to construct new $\beta$-solitary wave solutions of the generalized Fisher equation. The different profiles displayed by the obtained graphical representations made it possible to confirm their solitary wave characters.
Received: July 7, 2024
Revised: August 19, 2024
Accepted: September 26, 2024
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