The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source | Zendy

Yali Shen | Zendy; Fengqin Zhang | Zendy; Xiaomei Feng | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Painlevé Tests, Bäcklund Transformation and Bilinear Form for the KdV Equation with a Self-Consistent Source

Author(s) -

Yali Shen,

Fengqin Zhang,

Xiaomei Feng

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/872385

Subject(s) - korteweg–de vries equation , bilinear interpolation , mathematics , transformation (genetics) , bilinear transform , bilinear form , operator (biology) , property (philosophy) , pure mathematics , mathematical analysis , mathematical physics , nonlinear system , physics , statistics , computer science , digital filter , biochemistry , chemistry , philosophy , filter (signal processing) , repressor , quantum mechanics , epistemology , transcription factor , computer vision , gene

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research