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The (3+1)-dimensional Boiti-Leonon-Manna-Pempinelli equation was studied by using Hirita bilinear method. In this paper, we successfully derived the multi-solutions of this equation by superposition M-arbitrary functions. Some solutions from previous studies were found when M took a specific value and the test functions took particular functions. Thus, the recieved solutions were more general compared to the previous studies. A variety of new solutions can be obtained by choosing different values of the parameter M and test functions f in this paper, i.e., the localized solutions generated by M-positive quadratic functions, the mixed solutions consisting of the localized wave solutions and the kink wave solutions, and the mixed solutions consisting of a trigonometric function and exponential functions. Meanwhile, their corresponding physical plots are displayed to analyze their physical significance and dynamic properties.
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Wang et al. (2024) studied this question.
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