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In this paper, we obtained a kind of lump solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation with the assistance of Mathematica. Some contour plots with different determinant values are sequentially made to show that the corresponding lump solutions tend to zero when 2 2 x y + → ∞. Particularly, lump solutions with specific values of the include parameters are plotted, as illustrative examples. Finally, a combination of stripe soliton and lump soliton is discussed to the KP-BBM equation, in which such a solution presents two different interesting phenomena: lump-kink and lump-soliton. Simultaneously, breather rational soliton solutions are displayed.

Publisher's Note: Observation of a second π h 11/2 ⊗ νh 11/2 band in 126 La [Phys. Rev. C 88, 057302 (2013)]

The (3[Formula: see text]+[Formula: see text]1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation has some advantages when it is applied to solve engineering problems. Via using the Hirota method and symbolic computation Mathematica, we get the lump, interaction solution and breather-wave solution under certain constraints. An interesting feature of the resulting interaction solution involves arbitrary function. Illustrative examples of the resulting solution are shown by drawing.