https://doi.org/10.1140/epjp/s13360-019-00019-w
Regular Article
Diverse oscillating soliton structures for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation
College of Mathematics and Statistics, Qujing Normal University, Qujing, 655011, Yunnan, People’s Republic of China
* e-mail: lizitian88@163.com
Received:
13
March
2019
Accepted:
23
September
2019
Published online:
7
January
2020
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.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
