Lump-type, breather and interaction solutions to the (3+1)-dimensional generalized KdV-type equation

The [Formula: see text]-dimensional generalized Korteweg-de Vries (KdV)-type model equation is investigated based on the Hirota bilinear method. Diversity of exact solutions for this equation are obtained with the help of symbolic computation. We depicted the physical explanation of the extracted solutions with the free choice of the different parameters by plotting three-dimensional plots and contour plots. The obtained results are useful in gaining the understanding of high dimensional soliton-like structures equation related to mathematical physics branches, natural sciences and engineering areas.