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Öğe Propagation of some new traveling wave patterns of the double dispersive equation(De Gruyter Open Ltd, 2022) Asjad, Muhammad Imran; Faridi, Waqas Ali; Jhangeer, Adil; Ahmad, Hijaz; Abdel-Khalek, Sayed; Alshehri, NawalSciVal Topics Metrics Funding details Abstract This article aims to address the exact solution of the prestigious partial differential equation, namely, a double dispersive equation. Here, we are obtaining some new traveling wave solutions of the double dispersive equation with the more general mathematical technique, which is a direct algebraic extended method. This proposed technique is more general and integrated. The obtained solutions contain dark, bright, dark-bright, singular, periodic, kink, and rational function solutions. More illustration of traveling wave solutions of the double dispersive equation is given by plotting the two- and three-dimensional graphs with the suitable selection of parameters. This graphical presentation of solutions identifies the pattern of wave propagation. The acquired consequences are new and may play a significant role to examine the physical phenomena of wave propagation, where this model is used.