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- W3028828154 endingPage "2050215" @default.
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- W3028828154 abstract "A general third order of linear partial differential equation in [Formula: see text] dimensions is studied by using the ansätz method. The lump solutions which localize in all directions in the whole [Formula: see text]-space are derived by the ansätz method. Diversity interactions including interacted lumps with periodic waves, interaction between lumps and multi-soliton, and interaction among lumps, multi-soliton and periodic waves are obtained by selecting the arbitrary functions. The phenomena of interaction between a lump and one-kink soliton, interaction between a lump and periodic waves, and interaction among a lump, one-kink soliton and periodic waves are analyzed by the three-dimensional plots and contour plots. The results may enrich the existing lump solutions in the [Formula: see text]-dimensional partial differential equations." @default.
- W3028828154 created "2020-06-05" @default.
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- W3028828154 date "2020-05-27" @default.
- W3028828154 modified "2023-10-17" @default.
- W3028828154 title "Interaction of localized waves and dynamic behavior in a (3 + 1)-dimensional partial differential equation" @default.
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- W3028828154 doi "https://doi.org/10.1142/s0217984920502152" @default.
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