Hybrid Solutions of (3 + 1)-Dimensional Jimbo-Miwa Equation
Joint Authors
Dong, Huanhe
Zhang, Yong
Sun, Shili
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The rational solutions, semirational solutions, and their interactions to the (3+1)-dimensional Jimbo-Miwa equation are obtained by the Hirota bilinear method and long wave limit.
The hybrid solutions contain rogue wave, lump solution, and the breather solution, in which the breathers which are manifested as growing and decaying periodic line waves show different dynamics in different planes.
Rogue waves are localized in time and are obtained theoretically as a long wave limit of breathers with indefinitely larger periods; they arise from a constant background at t≪0 and then disappear in the constant background when time goes on.
More importantly, the interactions between some hybrid solutions are demonstrated in detail by the three-dimensional figures, such as hybrid solution between the stripe soliton and breather and hybrid solution between stripe soliton and lump solution.
American Psychological Association (APA)
Zhang, Yong& Sun, Shili& Dong, Huanhe. 2017. Hybrid Solutions of (3 + 1)-Dimensional Jimbo-Miwa Equation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1190720
Modern Language Association (MLA)
Zhang, Yong…[et al.]. Hybrid Solutions of (3 + 1)-Dimensional Jimbo-Miwa Equation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1190720
American Medical Association (AMA)
Zhang, Yong& Sun, Shili& Dong, Huanhe. Hybrid Solutions of (3 + 1)-Dimensional Jimbo-Miwa Equation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1190720
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190720