Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 78, Issue 6, Pages 1947-1959Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2019.03.034
Keywords
Rogue wave type solutions; Extended (3+1)-dimensional JM equation; Symbolic computations
Categories
Funding
- 333 Project of Jiangsu Province, People's Republic of China [BRA2018320]
- China University of Mining and Technology [102504180004]
- State Key Research Development Program of the People's Republic of China [2016YFC0600705]
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Under investigation in this article is an extended (3+1)-dimensional Jimbo-Miwa equation UM), which can be used to describe many nonlinear phenomena in fluid dynamics. By using the Hirota bilinear form of the extended (3+1)-dimensional JM equation, thirty classes of rogue wave type solutions are found with the help of symbolic computations. The rogue wave type solutions contain two important parameters a and b. When a and b get different values, we can present obvious rogue wave type solutions. For example, (i) taking a = b = 0, then we have algebraic solitary waves (lump); (ii) if one of a and b is fixed at 0 and the other is nonzero, then we have an interaction solution between an algebraically decayed soliton and exponentially decayed soliton (lumpoff); (iii) let a not equal 0 and b not equal 0, then we have an interaction solution between lump and exponentially localized twin soliton wave (instant or rogue wave). The new rogue wave type solutions help us to know different physical worlds. (C) 2019 Elsevier Ltd. All rights reserved.
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