Solitons, bilinear Bäcklund transformations and conservation laws for a -dimensional Bogoyavlenskii-Kadontsev-Petviashili equation in a fluid, plasma or ferromagnetic thin film. Issue 7 (12th April 2017)

• Record Type: Journal Article
• Authors: Yin, Hui-Min; Tian, Bo; Zhen, Hui-Ling; Chai, Jun; Liu, Lei; Sun, Yan
• Is Part Of: Journal of modern optics. Volume 64:Issue 7(2017)
• Page Start: 725
• Page End: 731
• Publication Date: 2017-04-12
• Subjects: Fluid -- plasma or ferromagnetic thin film -- (2+1)-dimensional Bogoyavlenskii–Kadontsev–Petviashili equation -- Bell polynomial -- Hirota method -- conservation laws; Optics -- Periodicals; 535
• DOI: 10.1080/09500340.2016.1260174
• Languages: English
• ISSNs: 0950-0340

Abstract

Abstract: In this paper, we investigate a( 2 + 1 ) -dimensional Bogoyavlenskii–Kadontsev–Petviashili equation in a fluid, plasma or ferromagnetic thin film. Through the Bell polynomials, Hirota method and symbolic computation, the one- and two-kink-soliton solutions are derived. Bäcklund transformation, Lax pair and conservation laws are presented. Elastic collisions including the oblique, parallel, unidirectional and bidirectional collisions between the two-kink solitons are discussed. In addition, the relation between the velocities and wave numbers of the two-kink solitons are analysed. When wave numbersb j > 0, ν j x, the velocities in the x axis, increase with wave numbersa j increasing. Withb j increasing, ν j x increase whena j 4 - 3 b j 2 > 0, while decrease whena j 4 - 3 b j 2 < 0 .ν j y, the velocities in the y axis, increase witha j increasing andb j decreasing.