Parametric instability in the pure-quartic nonlinear Schrödinger equation
Yun-Hong Zhang(张云红)1,2 and Chong Liu(刘冲)1,2,3,†
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
Abstract We study the nonlinear stage of modulation instability (MI) in the non-intergrable pure-quartic nonlinear Schrödinger equation where the fourth-order dispersion is modulated periodically. Using the three-mode truncation, we reveal the complex recurrence of parametric resonance (PR) breathers, where each recurrence is associated with two oscillation periods (PR period and internal oscillation period). The nonlinear stage of parametric instability admits the maximum energy exchange between the spectrum sidebands and central mode occurring outside the MI gain band.
(Computational methods in statistical physics and nonlinear dynamics)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12175178 and 12247103), the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2022KJXX-71), and the Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSY016).
Corresponding Authors:
Chong Liu
E-mail: chongliu@nwu.edu.cn
Cite this article:
Yun-Hong Zhang(张云红) and Chong Liu(刘冲) Parametric instability in the pure-quartic nonlinear Schrödinger equation 2024 Chin. Phys. B 33 030506
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