Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

doi:10.1088/1674-1056/ad71b4

中国物理B ›› 2024, Vol. 33 ›› Issue (12): 124203-124203.doi: 10.1088/1674-1056/ad71b4

Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

Keyu Bao(鲍柯宇), Xiaogang Tang(唐晓刚), and Ying Wang(王颖)†

School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China

收稿日期:2024-07-09 修回日期:2024-08-20 接受日期:2024-08-21 出版日期:2024-12-15 发布日期:2024-12-03
通讯作者: Ying Wang E-mail:wangying@just.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11547024).

Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

Keyu Bao(鲍柯宇), Xiaogang Tang(唐晓刚), and Ying Wang(王颖)†

School of Science, Jiangsu University of Science and Technology, Zhenjiang 212100, China

Received:2024-07-09 Revised:2024-08-20 Accepted:2024-08-21 Online:2024-12-15 Published:2024-12-03
Contact: Ying Wang E-mail:wangying@just.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11547024).

摘要/Abstract

摘要： For systems modeled by the resonant nonlinear Schrödinger equation (RNLSE) with generalized cubic-quintic nonlinearity, we derive the bright soliton solution of the equation in (1+1) dimensions, using the modified $F$-expansion method along with the novel ansatz of $F$-base function. Furthermore, we extend the analytical study of soliton dynamics to higher (2+1) and (3+1) dimensions by using the self-similar method, and demonstrate the soliton behavior via graphical illustration. Moreover, we investigate the effect of the resonance term on bright soliton solution in (1+1) dimensions. Additionally, we consider the nonlinear equation models with perturbation terms and derive the bright soliton solutions for the one-dimensional (1D) to three-dimensional (3D) cases. The theoretical results derived can be used to guide the experimental studies and observations of bright solitons in systems described by RNLSE model.

关键词: soliton, resonant nonlinear Schrödinger equation, $F$-expansion method

Abstract: For systems modeled by the resonant nonlinear Schrödinger equation (RNLSE) with generalized cubic-quintic nonlinearity, we derive the bright soliton solution of the equation in (1+1) dimensions, using the modified $F$-expansion method along with the novel ansatz of $F$-base function. Furthermore, we extend the analytical study of soliton dynamics to higher (2+1) and (3+1) dimensions by using the self-similar method, and demonstrate the soliton behavior via graphical illustration. Moreover, we investigate the effect of the resonance term on bright soliton solution in (1+1) dimensions. Additionally, we consider the nonlinear equation models with perturbation terms and derive the bright soliton solutions for the one-dimensional (1D) to three-dimensional (3D) cases. The theoretical results derived can be used to guide the experimental studies and observations of bright solitons in systems described by RNLSE model.

Key words: soliton, resonant nonlinear Schrödinger equation, $F$-expansion method

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.81.Dp (Propagation, scattering, and losses; solitons) 02.30.Jr (Partial differential equations) 42.50.Md (Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency)

Keyu Bao(鲍柯宇), Xiaogang Tang(唐晓刚), and Ying Wang(王颖). Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity[J]. 中国物理B, 2024, 33(12): 124203-124203.

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Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

Bright soliton dynamics for resonant nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity

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