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Dynamical analysis and localized waves of the n-component nonlinear Schrödinger equation with higher-order effects |
| Yu Lou(娄瑜)1,† and Guoan Xu(许国安)2 |
1 Public Basic Education Department, Zhejiang Industry Polytechnic College, Shaoxing 312000, China;
2 School of Mathematical Science, Huaqiao University, Quanzhou 362021, China |
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Abstract Under investigation is the $n$-component nonlinear Schrödinger equation with higher-order effects, which describes the ultrashort pulses in the birefringent fiber. Based on the Lax pair, the eigenfunction and generalized Darboux transformation are derived. Next, we construct several novel higher-order localized waves and classified them into three categories: (i) higher-order rogue waves interacting with bright/antidark breathers, (ii) higher-order breather fission/fusion, (iii) higher-order breather interacting with soliton. Moreover, we explore the effects of parameters on the structure, collision process and energy distribution of localized waves and these characteristics are significantly different from previous ones. Finally, the dynamical properties of these solutions are discussed in detail.
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Received: 26 October 2024
Revised: 04 December 2024
Accepted manuscript online:
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PACS:
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02.30.Ik
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(Integrable systems)
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02.30.Jr
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(Partial differential equations)
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05.45.Yv
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(Solitons)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12271096) and the Natural Science Foundation of Fujian Province (Grant No. 2021J01302). |
Corresponding Authors:
Yu Lou
E-mail: lyzjipc@163.com
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Cite this article:
Yu Lou(娄瑜) and Guoan Xu(许国安) Dynamical analysis and localized waves of the n-component nonlinear Schrödinger equation with higher-order effects 2025 Chin. Phys. B 34 030201
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