Abstract
To solve the Newell-White-Segel equations (NWSE), this paper presents a novel analytical method that combines the Mohand Transform with the HPM in a unique way. Due to its intrinsic nonlinearity, NWSE, which is essential for simulating intricate events in mathematical biology and physics, poses analytical challenges. An efficient analytical framework for dealing with nonlinear systems is provided by extending the Mohand Transform in combination with the HPM. Comparative evaluations between the results of this study and those of previous research, together with proven analytical solutions, are carried out in the framework of three NWSE examples.
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