Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation

doi:10.1088/1674-1056/ab9de0

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 100501-.doi: 10.1088/1674-1056/ab9de0

Xiangyu Yang(杨翔宇)¹, Zhao Zhang(张钊)¹, Biao Li(李彪)¹^,†()

收稿日期:2020-02-13 修回日期:2020-06-05 接受日期:2020-06-18 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Biao Li(李彪)

Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation

Xiangyu Yang(杨翔宇), Zhao Zhang(张钊), and Biao Li(李彪)†

¹ School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China

Received:2020-02-13 Revised:2020-06-05 Accepted:2020-06-18 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: libiao@nbu.edu.cn
About author:
†Corresponding author. E-mail: libiao@nbu.edu.cn
* Project supported by the National Natural Science Foundation of China (Grant Nos. 11775121 and 11435005), and the K. C. Wong Magna Fund in Ningbo University.

摘要/Abstract

Abstract:

Soliton molecules are firstly obtained by velocity resonance for the Gerdjikov–Ivanov equation, and n-order smooth positon solutions for the Gerdjikov–Ivanov equation are generated by means of the general determinant expression of n-soliton solution. The dynamics of the smooth positons of the Gerdjikov–Ivanov equation are discussed using the decomposition of the modulus square, the trajectories and time-dependent “phase shifts” of positons after the collision can be described approximately. Additionally, some novel hybrid solutions consisting solitons and positons are presented and their rather complicated dynamics are revealed.

Key words: soliton molecules, degenerate Darboux transformation, positons, phase shift, Gerdjikov-Ivanov equation

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems)

Xiangyu Yang(杨翔宇), Zhao Zhang(张钊), Biao Li(李彪). [J]. 中国物理B, 2020, 29(10): 100501-.

Xiangyu Yang(杨翔宇), Zhao Zhang(张钊), and Biao Li(李彪)†. Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation[J]. Chin. Phys. B, 2020, 29(10): 100501-.

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Soliton molecules and dynamics of the smooth positon for the Gerdjikov–Ivanov equation

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