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Dual-wavelength pumped latticed Fermi-Pasta-Ulam recurrences in nonlinear Schrödinger equation |
| Qian Zhang(张倩)1, Xiankun Yao(姚献坤)1,2,3,†, and Heng Dong(董恒)1 |
1 School of Physics, Northwest University, Xi'an 710127, China;
2 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
3 Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China |
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Abstract We show that the nonlinear stage of the dual-wavelength pumped modulation instability (MI) in nonlinear Schrödinger equation (NLSE) can be effectively analyzed by mode truncation methods. The resulting complicated heteroclinic structure of instability unveils all possible dynamic trajectories of nonlinear waves. Significantly, the latticed-Fermi-Pasta-Ulam recurrences on the modulated-wave background in NLSE are also investigated and their dynamic trajectories run along the Hamiltonian contours of the heteroclinic structure. It is demonstrated that there has much richer dynamic behavior, in contrast to the nonlinear waves reported before. This novel nonlinear wave promises to inject new vitality into the study of MI.
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Received: 16 October 2023
Revised: 18 December 2023
Accepted manuscript online: 22 December 2023
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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| Fund: Project supported by the National Natural Science Foundation of China (NSFC) (Grant No. 12004309), the Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSQ036), and the Scientific Research Program funded by Shaanxi Provincial Education Department (Grant No. 20JK0947). |
Corresponding Authors:
Xiankun Yao
E-mail: yaoxk@nwu.edu.cn
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Cite this article:
Qian Zhang(张倩), Xiankun Yao(姚献坤), and Heng Dong(董恒) Dual-wavelength pumped latticed Fermi-Pasta-Ulam recurrences in nonlinear Schrödinger equation 2024 Chin. Phys. B 33 030502
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