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

M Belal Hossen; Harun-Or Roshid; M Zulfikar Ali

doi:10.1016/j.heliyon.2019.e02548

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

Heliyon. 2019 Oct 14;5(10):e02548. doi: 10.1016/j.heliyon.2019.e02548. eCollection 2019 Oct.

Authors

M Belal Hossen¹, Harun-Or Roshid², M Zulfikar Ali³

Affiliations

¹ Department of Computer Science & Engineering, Uttara University, Bangladesh.
² Department of Mathematics, Pabna University of Science and Technology, Bangladesh.
³ Department of Mathematics, Rajshahi University, Bangladesh.

Abstract

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.

Keywords: ANNV equation; Applied mathematics; Breather solution; Hirota’s bilinear form; Lump solution; Multi soliton; Rogue wave.