Abstract
<abstract> This work is interested in constructing traveling wave solutions for the (2+1)-dimensional extended Kadomtsev–Petviashvili equation that is utilized as a model for the surface waves and internal waves in straits or channels. Based on the bifurcation analysis of the traveling wave system, we use the conserved quantity to construct some new bounded traveling wave solutions such as periodic and solitary solutions in addition to some unbounded novel wave solutions. Some of the new solutions and their corresponding orbits are clarified graphically. Moreover, we examine numerically the dynamical behaviour for the perturbed (2+1)-dimensional extended Kadomtsev–Petviashvili equation by adding a perturbed periodic term. </abstract>
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