Dynamics of mixed lump-soliton for an extended (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation. (1st March 2022)

• Record Type: Journal Article
• Authors: Shi, Kai-Zhong; Shen, Shou-Feng; Ren, Bo; Wang, Wan-Li
• Is Part Of: Communications in theoretical physics. Volume 74:Number 3(2022)
• Publication Date: 2022-03-01
• Subjects: Extended ANNV equation -- Hirota bilinear method -- lump solution; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/ac53a1
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: A new (2+1)-dimensional higher-order extended asymmetric Nizhnik–Novikov–Veselov (eANNV) equation is proposed by introducing the additional bilinear terms to the usual ANNV equation. Based on the independent transformation, the bilinear form of the eANNV equation is constructed. The lump wave is guaranteed by introducing a positive constant term in the quadratic function. Meanwhile, different class solutions of the eANNV equation are obtained by mixing the quadratic function with the exponential functions. For the interaction between the lump wave and one-soliton, the energy of the lump wave and one-soliton can transfer to each other at different times. The interaction between a lump and two-soliton can be obtained only by eliminating the sixth-order bilinear term. The dynamics of these solutions are illustrated by selecting the specific parameters in three-dimensional, contour and density plots.