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

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 fr...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2020-01, Vol.135 (1), p.8, Article 8
Main Author: Li, Zitian
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Fractals
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Partial differential equations
Physics
Physics and Astronomy
Regular Article
Separation
Solitary waves
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-019-00019-w