Asjad, Muhammad ImranFaridi, Waqas AliJhangeer, AdilAhmad, HijazAbdel-Khalek, SayedAlshehri, Nawal2023-01-182023-01-182022https://hdl.handle.net/11467/6060https://doi.org/10.1515/phys-2022-0014SciVal 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.eninfo:eu-repo/semantics/openAccessnew direct extended algebraic method; traveling wave solutionsArticle201130141Q3WOS:000765016500001N/A2-s2.0-8512644545310.1515/phys-2022-0014