期刊
PRAMANA-JOURNAL OF PHYSICS
卷 90, 期 2, 页码 -出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-017-1512-y
关键词
Multicomponent Mel'nikov system; multicomponent Schrodinger-Boussinesq system; rogue waves; bilinear transformation method
资金
- Shandong Provincial Natural Science Foundation [ZR2015PD009]
- National Natural Science Foundation of China [41506037]
- National Key Research and Development Programme of China [2016YFC1402000, 2016YFC1402304]
By virtue of the bilinear method and the KP hierarchy reduction technique, exact explicit rational solutions of the multicomponent Mel'nikov equation and the multicomponent Schrodinger-Boussinesq equation are constructed, which contain multicomponent short waves and single-component long wave. For the multicomponent Mel'nikov equation, the fundamental rational solutions possess two different behaviours: lump and rogue wave. It is shown that the fundamental (simplest) rogue waves are line localised waves which arise from the constant background with a line profile and then disappear into the constant background again. The fundamental line rogue waves can be classified into three: bright, intermediate and dark line rogue waves. Two subclasses of non-fundamental rogue waves, i.e., multirogue waves and higher-order rogue waves are discussed. The multirogue waves describe interaction of several fundamental line rogue waves, in which interesting wave patterns appear in the intermediate time. Higher-order rogue waves exhibit dynamic behaviours that the wave structures start from lump and then retreat back to it. Moreover, by taking the parameter constraints further, general higher-order rogue wave solutions for the multicomponent Schrodinger-Boussinesq system are generated.
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