Abstract
The extended homoclinic test approach is an efficient and well-developed approach to solve nonlinear partial differential equations. In this paper, the (2+1)- and (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation are investigated by using this approach. Some exact solutions including kinky periodic solitary-wave solutions, periodic soliton solutions and kink solutions are obtained. Moreover, the strangely mechanical features of these solutions are studied. These results enrich the variety of the dynamics of nonlinear wave model.
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