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Chin. Phys. B, 2022, Vol. 31(1): 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
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.
Keywords:  the extended Lax equation      soliton molecules      velocity resonance mechanism  
Received:  28 April 2021      Revised:  19 May 2021      Accepted manuscript online:  08 June 2021
PACS:  02.30.Ik (Integrable systems)  
  05.45.Yv (Solitons)  
  04.30.Nk (Wave propagation and interactions)  
  04.20.Jb (Exact solutions)  
Fund: 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).
Corresponding Authors:  Hongcai Ma, Yuxin Wang     E-mail:;

Cite this article: 

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 2022 Chin. Phys. B 31 010201

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