Lump solutions and bilinear Bäcklund transformation for the (4+1)-dimensional Fokas equation

The ( 4 + 1 ) -dimensional Fokas (4DFK) equation is explicitly written out by means of the linearized operator of the 4DFK equation after introducing an additional auxiliary variable. Based on the bilinear form, bilinear Bäcklund transformations consisting of three bilinear equations are provided. A...

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Bibliographic Details
Published in:Mathematical sciences (Karaj, Iran) Iran), 2020-12, Vol.14 (4), p.301-308
Main Authors: Yao, Ruoxia, Shen, Yali, Li, Zhibin
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Original Research
Transformations (mathematics)
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Summary:The ( 4 + 1 ) -dimensional Fokas (4DFK) equation is explicitly written out by means of the linearized operator of the 4DFK equation after introducing an additional auxiliary variable. Based on the bilinear form, bilinear Bäcklund transformations consisting of three bilinear equations are provided. A new class of lump solutions is given and analyzed using the extremum theory of multivariate function, of which the peculiar dynamic property is demonstrated graphically.
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-020-00341-w