Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation

In this paper, the binary Bell polynomials are employed to find the bilinear form, bilinear Bäcklund transformation and Lax pair for the (3+1)-dimensional BKP equation. Based on Hirota’s bilinear form and three-wave method, multi-soliton solutions are presented. Furthermore, a new bilinear Bäcklund...

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Veröffentlicht in:Nonlinear dynamics 2015-10, Vol.82 (1-2), p.311-318
1. Verfasser: Na, Liu
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Classical Mechanics
Combinatorial analysis
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Polynomials
Solitary waves
Transformations
Vibration
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Zusammenfassung:In this paper, the binary Bell polynomials are employed to find the bilinear form, bilinear Bäcklund transformation and Lax pair for the (3+1)-dimensional BKP equation. Based on Hirota’s bilinear form and three-wave method, multi-soliton solutions are presented. Furthermore, a new bilinear Bäcklund transformation is constructed via applying a gauge transformation to the Bäcklund transformation in bilinear form.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2159-1