2019
DOI: 10.48550/arxiv.1911.10583
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Appearing (disappearing) lumps and rogue lumps of the two-dimensional vector Yajima-Oikawa system

N. V. Ustinov

Abstract: The solutions of the two-dimensional multicomponent Yajima-Oikawa system that have the functional arbitrariness are constructed by using the Darboux transformation technique. For the zero and constant backgrounds, different types of solutions of this system, including the lumps, line rogue waves, semi-rational solutions and their higher-order counterparts, are considered. Also, the generalization of the lump solutions (namely, appearing or disappearing lumps) is obtained in the two-component case under the spe… Show more

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