期刊
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
卷 81, 期 8, 页码 -出版社
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.81.084001
关键词
Rogue wave; Schrodinger-Boussinesq equation; coupled Higgs equation; Hirota technique
资金
- National Natural Science Foundation of China [10801037, 11061028]
- Ministry of Education of China [200802461007]
- Young Teachers Foundation of Fudan university [1411018]
In this work, firstly it is shown that the coupled Schrodinger-Boussinesq equation, which governs the nonlinear propagation of coupled Langmuir and dust-acoustec wave in a multicomponent dusty plasma, possesses rogue waves in the form of the rational solutions. Here a hierarchy of rational solutions, the Peregrine breather and the second-order rational solution are given by means of the Hirota technique. Also, it is worth noting that the electric field exhibits bright rogue wave feature while electrostatic potential plays a role of dark rogue wave. Meanwhile, in comparison with rogue wave of nonlinear Schrodinger equation, some novel features of rogue waves are presented in their second order rational solutions. Secondly, rational solution of the coupled Higgs equation is taken into account by utilizing Hirota technique and the existence condition of rogue wave for this system is discussed.
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