Zobrazeno 1 - 10
of 615
pro vyhledávání: '"Mihalache, Dumitru"'
We investigate spontaneous symmetry- and antisymmetry-breaking bifurcations of solitons in a nonlinear dual-core waveguide with the pure-quartic dispersion and Kerr nonlinearity. Symmetric, antisymmetric, and asymmetric pure-quartic solitons (PQSs) a
Externí odkaz:
http://arxiv.org/abs/2409.15062
Autor:
Li, Pengfei, Sakaguchi, Hidetsugu, Zeng, Liangwei, Zhu, Xing, Mihalache, Dumitru, Malomed, Boris A.
We construct a family of bright optical solitons composed of fundamental frequency (FF) and second-harmonic (SH) components in the one-dimensional (planar) waveguide with the quadratic (second-harmonic-generating) nonlinearity and effective fractiona
Externí odkaz:
http://arxiv.org/abs/2306.06555
Autor:
Ding, Cui-Cui, Zhou, Qin, Xu, Si-Liu, Sun, Yun-Zhou, Liu, Wen-Jun, Mihalache, Dumitru, Malomed, Boris A.
To study controlled evolution of non-autonomous matter-wave solitons in spinor Bose-Einstein condensates with spatiotemporal modulation, we focus on a system of three coupled Gross-Pitaevskii (GP) equations with space-time-dependent external potentia
Externí odkaz:
http://arxiv.org/abs/2302.04146
The propagation dynamics of two-dimensional (2D) ring-Airy beams is studied in the framework of the fractional Schr\"{o}dinger equation, which includes saturable or cubic self-focusing or defocusing nonlinearity and L\'{e}vy index ((LI) alias for the
Externí odkaz:
http://arxiv.org/abs/2212.07610
General higher-order breather and rogue wave (RW) solutions to the two-component long wave--short wave resonance interaction (2-LSRI) model are derived via the bilinear Kadomtsev-Petviashvili hierarchy reduction method and are given in terms of deter
Externí odkaz:
http://arxiv.org/abs/2207.07356
Autor:
Chen, Junbo, Mihalache, Dumitru, Belić, Milivoj R., Gao, Xuzhen, Zhu, Danfeng, Deng, Dingnan, Qiu, Shaobin, Zhu, Xing, Zeng, Liangwei
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 470 Part A
Autor:
Zeng, Liangwei, Zhu, Yongle, Malomed, Boris A., Mihalache, Dumitru, Wang, Qing, Long, Hu, Cai, Yi, Lu, Xiaowei, Li, Jingzhen
We introduce a system combining the quadratic self-attractive or composite quadratic-cubic nonlinearity, acting in the combination with the fractional diffraction, which is characterized by its L\'{e}vy index $\alpha $. The model applies to a gas of
Externí odkaz:
http://arxiv.org/abs/2111.00443
Autor:
He, Shangling, Zhou, Kangzhu, Malomed, Boris A., Mihalache, Dumitru, Zhang, Liping, Tu, Jialong, Wu, You, Zhao, Jiajia, Peng, Xi, He, Yingji, Zhou, Xiang, Deng, Dongmei
Publikováno v:
In 2021
We address the propagation of vortex beams with the circular Airy-Gaussian shape in a (2+1)-dimensional optical waveguide modeled by the fractional nonlinear Schrodinger equation. Systematic analysis of autofocusing of the beams reveals a strongly no
Externí odkaz:
http://arxiv.org/abs/2110.00185
Autor:
Zeng, Liangwei, Malomed, Boris A., Mihalache, Dumitru, Cai, Yi, Lu, Xiaowei, Zhu, Qifan, Li, Jingzhen
Publikováno v:
Nonlinear Dyn. 106(1), 815-830 (2021)
We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in the form of
Externí odkaz:
http://arxiv.org/abs/2108.06146