Diverse oscillating soliton structures for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation

Zitian Li

doi:10.1140/epjp/s13360-019-00019-w

EPJ

Diverse oscillating soliton structures for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation

Zitian Li^*

College of Mathematics and Statistics, Qujing Normal University, Qujing, 655011, Yunnan, People’s Republic of China

Received: 13 March 2019
Accepted: 23 September 2019
Published online: 7 January 2020

Abstract

A new type of variable separation solutions for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation is derived by means of an improved mapping approach. Based on the derived variable separation excitation, rich oscillating solitons such as rogue-wave, dromion, multi-dromion, solitoff, lump and fractal-type structures are presented by selecting appropriate functions of the general variable separation solution, and some of these solutions exhibit a rich dynamic, with a wide variety of qualitative behavior and structures that are exponentially localized, showing some novel features and interesting behaviors.