Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation. (1st November 2022)

• Record Type: Journal Article
• Authors: Ma, Hongcai; Gao, Yidan; Deng, Aiping
• Is Part Of: Communications in theoretical physics. Volume 74:Number 11(2022)
• Publication Date: 2022-11-01
• Subjects: Hirota's bilinear method -- lump solution -- lump-type solution -- test function -- the (2+1)-dimensional dissipative Ablowitz–Kaup-Newell–Segure equation; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/ac633f
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: The lump solution is one of the exact solutions of the nonlinear evolution equation. In this paper, we study the lump solution and lump-type solutions of (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure (AKNS) equation by the Hirota bilinear method and test function method. With the help of Maple, we draw three-dimensional plots of the lump solution and lump-type solutions, and by observing the plots, we analyze the dynamic behavior of the (2+1)-dimensional dissipative AKNS equation. We find that the interaction solutions come in a variety of interesting forms.