Zobrazeno 1 - 10
of 323
pro vyhledávání: '"Dumitru Mihalache"'
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2664 (2022)
The propagation dynamics of two-dimensional (2D) ring-Airy beams is studied in the framework of the fractional Schrödinger equation, which includes saturable or cubic self-focusing or defocusing nonlinearity and Lévy index ((LI) alias for the fract
Externí odkaz:
https://doaj.org/article/5878cec58656457d81e71c8bb4927111
Publikováno v:
Frontiers in Physics, Vol 8 (2020)
We present exact explicit Peregrine soliton solutions based on a periodic-wave background caused by the interference in the vector cubic-quintic nonlinear Schrödinger equation involving the self-steepening effect. It is shown that such periodic Pere
Externí odkaz:
https://doaj.org/article/69d1ec6b36c4443882616b65ea449ea4
Publikováno v:
Physical Review Research, Vol 3, Iss 3, p 033152 (2021)
We investigate the coexisting rogue wave dynamics associated with two fundamental-frequency optical waves interacting in a quadratic nonlinear medium. Using the vector Chen–Lee–Liu nonlinear Schrödinger equation model, we obtain exact rogue wave
Externí odkaz:
https://doaj.org/article/47842b7fc09b430cb8358f69d082291a
Publikováno v:
Scientific Reports, Vol 7, Iss 1, Pp 1-21 (2017)
Abstract Since the parity-time-( $$\pmb{\mathscr{P}}\pmb{\mathscr{T}}$$ P T -) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with $$\pmb{\mathscr{P}}\pmb{\mathscr{T}}$$ P T -symmetric potentia
Externí odkaz:
https://doaj.org/article/9db8612d44a04339bdd928ec0e3c3c75
Publikováno v:
Royal Society Open Science, Vol 6, Iss 8 (2019)
We study the nonlinear integrable equation, ut + 2((uxuxx)/u) = ϵuxxx, which is invariant under scaling of dependent variable and was called the SIdV equation (see Sen et al. 2012 Commun. Nonlinear Sci. Numer. Simul. 17, 4115–4124 (doi:10.1016/j.c
Externí odkaz:
https://doaj.org/article/ee73ee931bff48b2b8db2825153483fb
Publikováno v:
Nonlinear Dynamics. 111:5671-5680
Autor:
Shangling He, Yong Zhang, Boris A. Malomed, Dumitru Mihalache, Liping Zhang, Sijing Zhang, Qiaobin Huang, Huixin Qiu, Jiajia Zhao, Xi Peng, Yingji He, Dongmei Deng
Publikováno v:
Waves in Random and Complex Media. :1-16
Autor:
Liangwei Zeng, Jincheng Shi, Milivoj R. Belić, Dumitru Mihalache, Junbo Chen, Hu Long, Xiaowei Lu, Yi Cai, Jingzhen Li
Publikováno v:
Nonlinear Dynamics. 111:3665-3678
Publikováno v:
Nonlinear Dynamics. 111:697-711
The paper studies the dynamics of degenerate and nondegenerate bright solitons and their collisions in the two-component nonlinear Schr\"odinger equations coupled to Boussinesq equation. The degenerate solitons that have only single-hump profiles, ex
Publikováno v:
Studies in Applied Mathematics. 149:843-878