A (2+1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation: Painlevé integrability and multiple soliton solutions. (15th February 2020)

• Record Type: Journal Article
• Authors: Wazwaz, Abdul-Majid
• Is Part Of: Computers & mathematics with applications. Volume 79:issue 4(2020)
• Page Start: 1145
• Page End: 1149
• Publication Date: 2020-02-15
• Subjects: DJKM equation -- Simplified Hirota's method -- Multiple complex soliton solutions; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2019.08.025
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this work, we extend the (2+1)-dimensional Date- Date–Jimbo–Kashiwara–Miwa equation to a new version with time-dependent coefficients. The integrability property of this developed equation is demonstrated by exhibiting the Painlevé test. We show that this time-dependent equation admits multiple real and multiple complex soliton solutions. Moreover, we derive other solitonic and periodic solutions.