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

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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.

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Acknowledgements

This work was supported by Natural Science Foundation of Yunnan Province under Grant no. 2013FZ113.

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

    Zitian Li

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  1. Zitian Li
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Li, Z. Diverse oscillating soliton structures for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation. Eur. Phys. J. Plus 135, 8 (2020). https://doi.org/10.1140/epjp/s13360-019-00019-w

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