Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance

doi:10.1088/1674-1056/ac0907

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/ac0907

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Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance

Hongcai Ma(马红彩)^1,2,†, Yuxin Wang(王玉鑫)^1,‡, and Aiping Deng(邓爱平)^1,2

1 Department of Applied Mathematics, Donghua University, Shanghai 201620, China;
2 Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, China

收稿日期:2021-04-28 修回日期:2021-05-19 接受日期:2021-06-08 出版日期:2021-12-03 发布日期:2021-12-14
通讯作者: Hongcai Ma, Yuxin Wang E-mail:hongcaima@hotmail.com;wangyuxin0130@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11371086, 11671258, and 11975145), the Fund of Science and Technology Commission of Shanghai Municipality, China (Grant No. 13ZR1400100), the Fund of Institute for Nonlinear Sciences, Donghua University, and the Fundamental Research Funds for the Central Universities, China (Grant No. 2232021G-13).

Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance

Hongcai Ma(马红彩)^1,2,†, Yuxin Wang(王玉鑫)^1,‡, and Aiping Deng(邓爱平)^1,2

1 Department of Applied Mathematics, Donghua University, Shanghai 201620, China;
2 Institute for Nonlinear Sciences, Donghua University, Shanghai 201620, China

Received:2021-04-28 Revised:2021-05-19 Accepted:2021-06-08 Online:2021-12-03 Published:2021-12-14
Contact: Hongcai Ma, Yuxin Wang E-mail:hongcaima@hotmail.com;wangyuxin0130@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11371086, 11671258, and 11975145), the Fund of Science and Technology Commission of Shanghai Municipality, China (Grant No. 13ZR1400100), the Fund of Institute for Nonlinear Sciences, Donghua University, and the Fundamental Research Funds for the Central Universities, China (Grant No. 2232021G-13).

摘要/Abstract

摘要： We investigate the techniques for velocity resonance and apply them to construct soliton molecules using two solitons of the extended Lax equation. What is more, each soliton molecule can be transformed into an asymmetric soliton by changing the parameter φ. In addition, the collision between soliton molecules (or asymmetric soliton) and several soliton solutions is observed. Finally, some related pictures are presented.

关键词: the extended Lax equation, soliton molecules, velocity resonance mechanism

Abstract: We investigate the techniques for velocity resonance and apply them to construct soliton molecules using two solitons of the extended Lax equation. What is more, each soliton molecule can be transformed into an asymmetric soliton by changing the parameter φ. In addition, the collision between soliton molecules (or asymmetric soliton) and several soliton solutions is observed. Finally, some related pictures are presented.

Key words: the extended Lax equation, soliton molecules, velocity resonance mechanism

中图分类号: (Integrable systems)

02.30.Ik

05.45.Yv (Solitons) 04.30.Nk (Wave propagation and interactions) 04.20.Jb (Exact solutions)

Hongcai Ma(马红彩), Yuxin Wang(王玉鑫), and Aiping Deng(邓爱平). Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance[J]. 中国物理B, 2022, 31(1): 10201-010201.

Hongcai Ma(马红彩), Yuxin Wang(王玉鑫), and Aiping Deng(邓爱平). Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance[J]. Chin. Phys. B, 2022, 31(1): 10201-010201.

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Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance

Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance

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