The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source
Joint Authors
Zhang, Fengqin
Feng, Xiaomei
Shen, Yali
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The Painlevé property and Bäcklund transformation for the KdV equation with a self-consistent source are presented.
By testing the equation, it is shown that the equation has the Painlevé property.
In order to further prove its integrality, we give its bilinear form and construct its bilinear Bäcklund transformation by the Hirota's bilinear operator.
And then the soliton solution of the equation is obtained, based on the proposed bilinear form.
American Psychological Association (APA)
Shen, Yali& Zhang, Fengqin& Feng, Xiaomei. 2012. The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-505103
Modern Language Association (MLA)
Shen, Yali…[et al.]. The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-505103
American Medical Association (AMA)
Shen, Yali& Zhang, Fengqin& Feng, Xiaomei. The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-505103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505103
