Wronskian and Grammian solutions for a (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation. (15th August 2017)

• Record Type: Journal Article
• Authors: Yuan, Yu-Qiang; Tian, Bo; Sun, Wen-Rong; Chai, Jun; Liu, Lei
• Is Part Of: Computers & mathematics with applications. Volume 74:issue 4(2017)
• Page Start: 873
• Page End: 879
• Publication Date: 2017-08-15
• Subjects: Date-Jimbo–Kashiwara–Miwa equation -- Bäcklund transformation -- Wronskian -- Grammian; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.06.008
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, a ( 2 + 1 ) -dimensional Date–Jimbo–Kashiwara–Miwa equation is investigated. Based on the Hirota method and auxiliary variable, Bäcklund transformation is obtained. Under certain conditions, the Hirota bilinear forms can be reduced to the Plücker and Jacobi identities via the Wronskian and Grammian solutions. Through the Wronskian technique and Pfaffian derivative formulae, N -soliton solutions in the Wronskian and Grammian are given. Graphically presented, soliton collisions are elastic both in the Wronskian and Grammian, and after each collision, the solitons keep their amplitudes unchanged except for the phase shifts.