Abstract
The Gardner equation models the propagation of dust ion acoustic waves. As a result, it has received extensive attention in the literature. For the first time, the (m + (1/G))-expansion method is used to establish novel exact wave solutions for the Gardner equation. Solutions can exhibit various types of behavior, which can be visualized using 3D and contour graphs. The results obtained demonstrate that the presented method is powerful, useful, practical, and suitable for examining the model.
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