Neural Networks and Rules-based Systems used to Find Rational and Scientific Correlations between being Here and Now with Afterlife Conditions
February 17, 2026
Neural Networks and Rules-based Systems used to Find Rational and
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ReserarchID
XBL07
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Neural Networks and Rules-based Systems used to Find Rational and
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In this article, we implement the exp(-Φ(η))-expansion method for seeking the exact solutions of NLEEs via the Benjamin-Ono equation and achieve exact solutions involving parameters. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is established that the exp(-Φ(η))-expansion method offers a further influential mathematical tool for constructing the exact solutions of NLEEs in mathematical physics. The obtained results show that exp(-Φ(η))-expansion method is very powerful and concise mathematical tool for nonlinear evolution equations in science and engineering.
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