Elliptical and rectangular solitons in media with competing cubic-quintic nonlinearities

被引：12
作者：
Zeng, Liangwei [1 ,2 ]
Belic, Milivoj R. [3 ]
Mihalache, Dumitru [4 ]
Zhu, Xing [1 ]
机构：
[1] Guangzhou Maritime Univ, Dept Basic Courses, Guangzhou 510725, Peoples R China
[2] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Peoples R China
[3] Texas A&M Univ Qatar, Doha 23874, Qatar
[4] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest 077125, Romania
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 181卷
基金：
中国国家自然科学基金;
关键词：
Optical solitons; Cubic-quintic nonlinearity; Non-circularly-symmetric solitons; Transformation of solitons; MATTER-WAVE MEDIA; GAP SOLITONS; SELECTION; DYNAMICS; COLLAPSE;
D O I：
10.1016/j.chaos.2024.114645
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We demonstrate two new types of non -circularly -symmetric solitons, the elliptical and rectangular solitons, which can be sustained by the cubic-quintic nonlinearity in the nonlinear Schrodinger equation with a linear potential well. The characteristics of these solitons are investigated in some detail. Notably, the elliptical and circular solitons can transform into each other, and similarly the rectangular and square solitons can transform into each other. Interestingly, we find that elliptical and rectangular solitons can also transform into each other-a phenomenon not readily seen among different types of solitons. In addition, the rotation of elliptical and rectangular solitons is displayed as well. Finally, we find that stable vortex modes of elliptical and rectangular solitons can be also supported by our model.
引用
收藏
页数：5
相关论文
共 53 条
[41]   Robust dynamics of soliton pairs and clusters in the nonlinear Schrodinger equation with linear potentials [J].
Zeng, Liangwei ;
Belic, Milivoj R. ;
Mihalache, Dumitru ;
Zhang, Qing ;
Xiang, Dan ;
Zhu, Xing .
NONLINEAR DYNAMICS, 2023, 111 (23) :21895-21902
[42]   Triangular bright solitons in nonlinear optics and Bose-Einstein condensates [J].
Zeng, Liangwei ;
Belic, Milivoj R. ;
Mihalache, Dumitru ;
Xiang, Dan ;
Wang, Qing ;
Yang, Jianrong ;
Zhu, Xing .
OPTICS EXPRESS, 2023, 31 (06) :9563-9578
[43]   Multiple-peak and multiple-ring solitons in the nonlinear Schrodinger equation with inhomogeneous self-defocusing nonlinearity [J].
Zeng, Liangwei ;
Zhu, Xing ;
Belic, Milivoj R. ;
Mihalache, Dumitru ;
Shi, Jincheng ;
Chen, Junbo .
NONLINEAR DYNAMICS, 2023, 111 (06) :5671-5680
[44]   Families of gap solitons and their complexes in media with saturable nonlinearity and fractional diffraction [J].
Zeng, Liangwei ;
Belic, Milivoj R. ;
Mihalache, Dumitru ;
Shi, Jincheng ;
Li, Jiawei ;
Li, Siqi ;
Lu, Xiaowei ;
Cai, Yi ;
Li, Jingzhen .
NONLINEAR DYNAMICS, 2022, 108 (02) :1671-1680
[45]   Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media [J].
Zeng, Liangwei ;
Malomed, Boris A. ;
Mihalache, Dumitru ;
Cai, Yi ;
Lu, Xiaowei ;
Zhu, Qifan ;
Li, Jingzhen .
NONLINEAR DYNAMICS, 2021, 106 (01) :815-830
[46]   Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension [J].
Zeng, Liangwei ;
Mihalache, Dumitru ;
Malomed, Boris A. ;
Lu, Xiaowei ;
Cai, Yi ;
Zhu, Qifan ;
Li, Jingzhen .
CHAOS SOLITONS & FRACTALS, 2021, 144
[47]   Preventing critical collapse of higher-order solitons by tailoring unconventional optical diffraction and nonlinearities [J].
Zeng, Liangwei ;
Zeng, Jianhua .
COMMUNICATIONS PHYSICS, 2020, 3 (01)
[48]   Purely Kerr nonlinear model admitting flat-top solitons [J].
Zeng, Liangwei ;
Zeng, Jianhua ;
Kartashov, Yaroslav V. ;
Malomed, Boris A. .
OPTICS LETTERS, 2019, 44 (05) :1206-1209
[49]   Perturbation of chirped localized waves in a dual-power law nonlinear medium [J].
Zhou, Qin ;
Triki, Houria ;
Xu, Jiakun ;
Zeng, Zhongliang ;
Liu, Wenjun ;
Biswas, Anjan .
CHAOS SOLITONS & FRACTALS, 2022, 160
[50]   Exact optical solitons in metamaterials with cubic-quintic nonlinearity and third-order dispersion [J].
Zhou, Qin ;
Liu, Lan ;
Liu, Yaxian ;
Yu, Hua ;
Yao, Ping ;
Wei, Chun ;
Zhang, Huijuan .
NONLINEAR DYNAMICS, 2015, 80 (03) :1365-1371
123456