Interactions of Lump and Solitons to Generalized (2 + 1)-Dimensional Ito Systems
Abstract
The (2 + 1)-dimensional Ito equation is extended to a general form including some nonintegrable effects via introducing generalized bilinear operators. It is pointed out that the nonintegrable (2 + 1)-dimensional Ito equation contains lump solutions and interaction solutions between lump and stripe solitons. The result shows that the lump soliton will be swallowed or arisen by a stripe soliton in a fixed time. Furthermore, by the interaction between a lump and a paired resonant stripe soliton, the lump will be transformed to an instanton or a rogue wave.
- Publication:
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Communications in Theoretical Physics
- Pub Date:
- June 2019
- DOI:
- 10.1088/0253-6102/71/6/633
- Bibcode:
- 2019CoTPh..71..633D
- Keywords:
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- generalized bilinear operators;
- (2 + 1)-dimensional Ito systems;
- lump-soliton interactions;
- instanton and rogue waves