Lump, lumpoff and rogue waves for a (2 + 1)-dimensional reduced Yu-Toda-Sasa-Fukuyama equation in a lattice or liquid
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
2 School of Information, University of International Business and Economics, 100029, Beijing, China
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Accepted: 24 July 2019
Published online: 19 November 2019
Lattices and liquids are common in physics, engineering, science, nature and life. The Yu-Toda-Sasa-Fukuyama (YTSF) equation describes the elastic quasiplane wave in a lattice or interfacial wave in a two-layer liquid. A (2 + 1)-dimensional reduced YTSF equation is studied in this paper. With symbolic computation, we get the lump solutions more general than those in the existing literature, which orient in all directions of space and time with more parameters. Via the lump solutions, we get the moving path of lump waves, lumpoff solutions and moving path of the lumpoff waves, which describe interactions between one stripe soliton and a lump wave. When the lump solutions produce the one stripe solitons, the lumpoff solutions are constructed. When a pair of stripe solitons cut lump wave, the rogue wave emerges. Time and place for the rogue wave to appear can be obtained from the coordinates of the interaction points between a pair of stripe solitons and the lump wave.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019