Multi-soliton, breathers, lumps and interaction solution to the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation

Heliyon

M. Zulfikar Ali¹  Harun-Or Roshid²  M. Belal Hossen³ 

[1] Corresponding author.;Engineering, Uttara University, Bangladesh;;Department of Computer Science &

关键词: Applied mathematics;    ANNV equation;    Hirota’s bilinear form;    Rogue wave;    Lump solution;    Multi soliton;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work, we consider a (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equation, which has applications in processes of interaction of exponentially localized structures. Based on the bilinear formalism and with the aid of symbolic computation, we determine multi-solitons, breather solutions, lump soliton, lump-kink waves and multi lumps using various ansatze's function. We notice that multi-lumps in the form of breathers visualize as a straight line. To realize dynamics, we commit diverse graphical analysis on the presented solutions. Obtained solutions are reliable in the mathematical physics and engineering.

【 授权许可】

Unknown