Zobrazeno 1 - 10
of 633
pro vyhledávání: '"Yan, Zhenya"'
Autor:
Song, Jin, Yan, Zhenya
In this paper, we develop a systematic deep learning approach to solve two-dimensional (2D) stationary quantum droplets (QDs) and investigate their wave propagation in the 2D amended Gross-Pitaevskii equation with Lee-Huang-Yang correction and two ki
Externí odkaz:
http://arxiv.org/abs/2409.02339
Publikováno v:
Proc. R. Soc. A 480 (2024) 20230765
s in laser systems with two fractional-dispersion/diffraction terms, quantified by their L\'{e}vy indices, $\alpha_{1}\, \alpha_{2}\in (1, 2]$, and self-focusing or defocusing Kerr nonlinearity. Some fundamental solitons are obtained by means of the
Externí odkaz:
http://arxiv.org/abs/2409.01135
Publikováno v:
Journal of Computational Physics 505 (2024) 112917
We propose a new two-stage initial-value iterative neural network (IINN) algorithm for solitary wave computations of nonlinear wave equations based on traditional numerical iterative methods and physics-informed neural networks (PINNs). Specifically,
Externí odkaz:
http://arxiv.org/abs/2409.01124
Publikováno v:
Phys. Rev. E 110, 014215 (2024)
We elaborate a fractional discrete nonlinear Schr\"{o}dinger (FDNLS) equation based on an appropriately modified definition of the Riesz fractional derivative, which is characterized by its L\'{e}vy index (LI). This FDNLS equation represents a novel
Externí odkaz:
http://arxiv.org/abs/2407.12441
Autor:
Weng, Weifang, Yan, Zhenya
The Hirota equation is one of the integrable higher-order extensions of the nonlinear Schr\"odinger equation, and can describe the ultra-short optical pulse propagation in the form $iq_t+\alpha(q_{xx}+ 2|q|^2q)+i\beta (q_{xxx}+ 6|q|^2q_x)=0,\, (x,t)\
Externí odkaz:
http://arxiv.org/abs/2401.08924
Autor:
Song, Jin, Yan, Zhenya
Publikováno v:
Physica D 448 (2023) 133729
In this paper, we firstly extend the physics-informed neural networks (PINNs) to learn data-driven stationary and non-stationary solitons of 1D and 2D saturable nonlinear Schr\"odinger equations (SNLSEs) with two fundamental PT-symmetric Scarf-II and
Externí odkaz:
http://arxiv.org/abs/2310.02276
In this paper, we study data-driven localized wave solutions and parameter discovery in the massive Thirring (MT) model via the deep learning in the framework of physics-informed neural networks (PINNs) algorithm. Abundant data-driven solutions inclu
Externí odkaz:
http://arxiv.org/abs/2309.17240
Publikováno v:
Proc. R. Soc. A 479 (2023) 20230457
We address symmetry breaking bifurcations (SBBs) in the ground-state (GS) and dipole-mode (DM) solitons of the 1D linearly coupled NLS equations, modeling the propagation of light in a dual-core planar waveguide with the Kerr nonlinearity and two typ
Externí odkaz:
http://arxiv.org/abs/2309.16904
Autor:
Weng, Weifang, Yan, Zhenya
We prove the well-posedness results of scattering data for the derivative nonlinear Schr\"odinger equation in $H^{s}(\mathbb{R})(s\geq\frac12)$. We show that the reciprocal of the transmission coefficient can be written as the sum of some iterative i
Externí odkaz:
http://arxiv.org/abs/2309.09234
Publikováno v:
Chaos 33, 033141 (2023)
In this paper, vortex solitons are produced for a variety of 2D spinning quantum droplets (QDs) in a PT-symmetric potential, modeled by the amended Gross-Pitaevskii equation with Lee-Huang-Yang corrections. In particular, exact QD states are obtained
Externí odkaz:
http://arxiv.org/abs/2303.05210