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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 |
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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.
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Received: 13 February 2020
Revised: 05 June 2020
Accepted manuscript online: 18 June 2020
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PACS:
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05.45.Yv
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(Solitons)
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02.30.Ik
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(Integrable systems)
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Corresponding Authors:
†Corresponding author. E-mail: libiao@nbu.edu.cn
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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. |
Cite this article:
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 2020 Chin. Phys. B 29 100501
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