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

Ruoxia Yao; Yali Shen; Zhibin Li

doi:10.1007/s40096-020-00341-w

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

Ruoxia Yao^*
, Yali Shen^*
, Zhibin Li

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	301-308
Number of pages	8
Journal	Mathematical Sciences
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s40096-020-00341-w
State	Published - Dec 2020

Keywords

(4 + 1) -Dimensional Fokas equation
Bilinear Bäcklund transformation
Bilinear form
Lump solutions

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10.1007/s40096-020-00341-w

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title = "Lump solutions and bilinear B{\"a}cklund transformation for the (4 + 1) -dimensional Fokas equation",

abstract = "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 B{\"a}cklund 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.",

keywords = "(4 + 1) -Dimensional Fokas equation, Bilinear B{\"a}cklund transformation, Bilinear form, Lump solutions",

author = "Ruoxia Yao and Yali Shen and Zhibin Li",

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year = "2020",

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AU - Shen, Yali

AU - Li, Zhibin

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Y1 - 2020/12

N2 - 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.

AB - 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.

KW - (4 + 1) -Dimensional Fokas equation

KW - Bilinear Bäcklund transformation

KW - Bilinear form

KW - Lump solutions

UR - https://www.scopus.com/pages/publications/85119500906

U2 - 10.1007/s40096-020-00341-w

DO - 10.1007/s40096-020-00341-w

M3 - 文章

AN - SCOPUS:85119500906

SN - 2008-1359

VL - 14

SP - 301

EP - 308

JO - Mathematical Sciences

JF - Mathematical Sciences

IS - 4

ER -

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

Abstract

Keywords

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