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Two types of smooth positons for nonlocal Fokas-Lenells equation

B. Wang

Robotics Institute, Ningbo University of Technology, Ningbo 315211, P. R. China

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Z. Zhang

School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

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, and

B. Li

http://orcid.org/0000-0001-9218-8837

School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

E-mail Address: libiao@nbu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217979220501489Cited by:5 (Source: Crossref)

Abstract

In this paper, we propose a new type of smooth positon called novel rational positon. Similar to classic smooth positons, the modulus square of novel rational positons can also be decomposed. But there is a fundamental difference between classic smooth positons and novel rational positons in terms of algebraic structure and dynamical properties. Specific propositions and conclusions are given in Secs. $2$ $2$ and $3$ $3$ . Further, these two types of smooth positons sitting on a periodic line wave background are derived for the first time. In addition, a new nonlinear superposition between these two types of smooth positions and a kink soliton is constructed.

Keywords:

PACS: 05.45.Yv, 02.30.Ik, 47.20.Ky, 52.35.Mw

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