PurposeThe purpose of this study is to examine the lump solutions of the (3 + 1)-dimensional nonlinear evolution equations by considering a (3 + 1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation and a (3 + 1)-dimensional variable-coefficient generalized B-type Kadomtsev–Petviashvili (vcgBKP) equation as examples.Design/methodology/approachBased on Hirota’s bilinear theory, a direct method is used to examine the lump solutions of these two equations.FindingsThe complete non-elastic interaction solutions between a lump and a stripe are also discussed for the equations, which show that the lump solitons are swallowed by the stripe solitons.Originality/valueThe dynamics of these solutions are analyzed to enrich the diversity of the dynamics of high-dimensional KP-type nonlinear wave equations.
International Journal of Numerical Methods for Heat & Fluid Flow – Emerald Publishing
Published: Sep 2, 2019
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