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The Manakov equation
of mixed type and its matrix generalization
Qing Ding, Chaohao Ye and Shiping Zhong |
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Vol. 339 (2025), No. 2, 265–282
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Abstract |
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We introduce the matrix Manakov equation of mixed type by using algebraic properties of the Lie algebra , which is a nice supplementary to the matrix nonlinear Schrödinger equation. As a consequence, the general Manakov equation is generalized to the matrix case. By making use of some peculiar properties of , we derive both the geometric realization and Darboux transformation of the matrix Manakov equation of mixed type. |
Keywords
Manakov system, matrix generalization, geometric
realization, Darboux transformation
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Mathematical Subject Classification
Primary: 53C30, 53E30, 37K25
Secondary: 35Q55, 35Q60
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Milestones
Received: 19 May 2025
Revised: 21 August 2025
Accepted: 26 August 2025
Published: 21 September 2025
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Authors |
| Qing Ding | |
| Department of Mathematics Wenzhou University Wenzhou, 325035 China |
School of Mathematical
Sciences Fudan University Shanghai, 200433 China |
| Chaohao Ye | |
| Department of Mathematics Wenzhou University Wenzhou, 325035 China |
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| Shiping Zhong | |
| School of Mathematics and Computer
Sciences Gannan Normal University Ganzhou, 341000 China |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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