A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons

doi:10.1088/1674-1056/adceff

中国物理B ›› 2025, Vol. 34 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/adceff

A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons

H. W. A. Riaz† and Ji Lin(林机)‡

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2025-03-12 修回日期:2025-04-03 接受日期:2025-04-22 出版日期:2025-08-21 发布日期:2025-09-09
通讯作者: H. W. A. Riaz, Ji Lin E-mail:wajahat@zjnu.edu.cn;linji@zjnu.edu.cn
基金资助:
integrable systems|Darboux transformation|solitons

A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons

H. W. A. Riaz† and Ji Lin(林机)‡

Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Received:2025-03-12 Revised:2025-04-03 Accepted:2025-04-22 Online:2025-08-21 Published:2025-09-09
Contact: H. W. A. Riaz, Ji Lin E-mail:wajahat@zjnu.edu.cn;linji@zjnu.edu.cn

摘要/Abstract

摘要： This study presents a (2+1)-dimensional complex coupled dispersionless system. A Lax pair is proposed, and the Darboux transformation is employed to construct multisoliton solutions. These solutions exhibit a range of wave phenomena, including bright and dark solitons, S-shaped formations, parabolic profiles, and periodic wave patterns. Additionally, it is shown that the system is equivalent to the sine-Gordon equation and the negative flow of the modified Korteweg-de Vries hierarchy through appropriate transformations.

关键词: integrable systems, Darboux transformation, solitons

Abstract: This study presents a (2+1)-dimensional complex coupled dispersionless system. A Lax pair is proposed, and the Darboux transformation is employed to construct multisoliton solutions. These solutions exhibit a range of wave phenomena, including bright and dark solitons, S-shaped formations, parabolic profiles, and periodic wave patterns. Additionally, it is shown that the system is equivalent to the sine-Gordon equation and the negative flow of the modified Korteweg-de Vries hierarchy through appropriate transformations.

Key words: integrable systems, Darboux transformation, solitons

中图分类号: (Solitons)

05.45.Yv

02.30.Jr (Partial differential equations)

H. W. A. Riaz and Ji Lin(林机). A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons[J]. 中国物理B, 2025, 34(9): 90502-090502.

H. W. A. Riaz and Ji Lin(林机). A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons[J]. Chin. Phys. B, 2025, 34(9): 90502-090502.

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A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons

A novel (2+1)-dimensional complex coupled dispersionless system: Darboux transformation and multisolitons

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