期刊
CHAOS
卷 27, 期 8, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.4999083
关键词
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资金
- NSF of China [11671219]
- K. C. Wong Magna Fund in Ningbo University
- National Board for Higher Mathematics (NBHM)
- Department of Science and Technology-Science and Engineering Research Board (DST-SERB)
- Indo-French Centre for the Promotion of Advanced Research IFCPAR [5104-2]
- Council of Scientific and Industrial Research (CSIR), Government of India
General dark solitons and mixed solutions consisting of dark solitons and breathers for the third-type Davey-Stewartson (DS-III) equation are derived by employing the bilinear method. By introducing the two differential operators, semi-rational solutions consisting of rogue waves, breathers, and solitons are generated. These semi-rational solutions are given in terms of determinants whose matrix elements have simple algebraic expressions. Under suitable parametric conditions, we derive general rogue wave solutions expressed in terms of rational functions. It is shown that the fundamental (simplest) rogue waves are line rogue waves. It is also shown that the multi-rogue waves describe interactions of several fundamental rogue waves, which would generate interesting curvy wave patterns. The higher order rogue waves originate from a localized lump and retreat back to it. Several types of hybrid solutions composed of rogue waves, breathers, and solitons have also been illustrated. Specifically, these semi-rational solutions have a new phenomenon: lumps form on dark solitons and gradual separation from the dark solitons is observed. Published by AIP Publishing.
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