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- W4225753929 abstract "Based on the N-soliton solutions of the $$(2+1)$$ -dimensional Sawada–Kotera equation, the collisions among lump waves, line waves, and breather waves are studied in this paper. By introducing new constraints, the lump wave does not collide with other waves forever, or stays in collision forever. Under the condition of velocity resonance, the soliton molecules consisting of a lump wave, a line wave, and any number of breather waves are derived for the first time. In particular, the interaction of a line wave and a breather wave will generate two breathers under certain conditions, which is worth exploring, and the method can also be extended to other $$(2+1)$$ -dimensional integrable equations." @default.
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- W4225753929 date "2022-02-12" @default.
- W4225753929 modified "2023-10-01" @default.
- W4225753929 title "New mixed solutions generated by velocity resonance in the $$(2+1)$$-dimensional Sawada–Kotera equation" @default.
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- W4225753929 doi "https://doi.org/10.1007/s11071-022-07248-2" @default.
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