Abstract
This paper aims to search for the solutions of the (2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation. Lump solutions, breather solutions, mixed solutions with solitons, and lump-breather solutions can be obtained from the N-soliton solution formula by using the long-wave limit approach and the conjugate complex method. We use both specific circumstances and general higher-order forms of the hybrid solutions as examples. With the help of maple software, we create density and 3D graphs to summarize the dynamic properties of these solutions. Additionally, it is possible to observe how the solutions’ trajectory, velocity, and shape vary over time.
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