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数学与系统科学研究... [36]
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期刊论文 [51]
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Fundamental and dipole gap solitons and their dynamics in the cubic–quintic fractional nonlinear Schrödinger model with a PT-symmetric lattice
期刊论文
OAI收割
Physica D: Nonlinear Phenomena, 2024, 卷号: 465
作者:
Wang, Li
;
Zeng, Jianhua
;
Zhu, Yi
  |  
收藏
  |  
浏览/下载:34/0
  |  
提交时间:2024/09/04
Fractional nonlinear Schrödinger equation
Cubic–quintic nonlinearity
PT-symmetric lattice
Dispersion relations
Gap solitons
Stability
Two-dimensional localized modes in nonlinear systems with linear nonlocality and moiré lattices
期刊论文
OAI收割
FRONTIERS OF PHYSICS, 2024, 卷号: 19, 期号: 4
作者:
Liu, Xiuye
;
Zeng, Jianhua
  |  
收藏
  |  
浏览/下载:42/0
  |  
提交时间:2024/02/23
moire optical lattices
gap solitons and vortices
ultracold atoms
Gross-Pitaevskii/nonlinear fractional Schrodinger equation
nonlinear fractional systems
Three-dimensional Bose–Einstein gap solitons in optical lattices with fractional diffraction
期刊论文
OAI收割
Chaos, Solitons and Fractals, 2024, 卷号: 180
作者:
Chen, Zhiming
;
Liu, Xiuye
;
Xie, Hongqiang
;
Zeng, Jianhua
  |  
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2024/03/13
Three-dimensional solitons
Gap solitons and vortices
Bose–Einstein condensates
Fractional Schrödinger equation
Optical lattices
Universal potential estimates for 1 < p <= 2-1 dagger n
期刊论文
OAI收割
MATHEMATICS IN ENGINEERING, 2023, 卷号: 5, 期号: 3, 页码: 1-24
作者:
Nguyen, Quoc-Hung
;
Phuc, Nguyen Cong
  |  
收藏
  |  
浏览/下载:25/0
  |  
提交时间:2023/02/07
pointwise estimate
potential estimate
Wolff?s potential
Riesz?s potential
fractional maximal function
Caldero?n space
p-Laplacian
quasilinear equation
measure data
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions
期刊论文
OAI收割
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:
Chen, Hu
;
Chen, Mengyi
;
Sun, Tao
;
Tang, Yifa
  |  
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2023/02/07
L1 scheme
Time-fractional KdV equation
Local error estimate
Weakly singular solution
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
;
Liu, Zhihui
;
Sheng, Derui
  |  
收藏
  |  
浏览/下载:12/0
  |  
提交时间:2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
Stable and oscillating solitons of PT-symmetric couplers with gain and loss in fractional dimension
期刊论文
OAI收割
NONLINEAR DYNAMICS, 2021, 页码: 10
作者:
Zeng, Liangwei
;
Shi, Jincheng
;
Lu, Xiaowei
;
Cai, Yi
;
Zhu, Qifan
  |  
收藏
  |  
浏览/下载:44/0
  |  
提交时间:2021/03/23
Fractional calculus
PT-symmetry
Nonlinear Schrodinger equation
Coupled solitons
AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION
期刊论文
OAI收割
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
  |  
收藏
  |  
浏览/下载:30/0
  |  
提交时间:2022/04/02
time-fractional Allen--Cahn equation
asymptotic preserving
energy stability
adaptive time stepping
max-imum principle
Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid
期刊论文
OAI收割
ALEXANDRIA ENGINEERING JOURNAL, 2020, 卷号: 59
作者:
Zhang, Guanhong
;
Brown, Peter
;
Odbal
  |  
收藏
  |  
浏览/下载:38/0
  |  
提交时间:2020/10/26
Fuzzy mixed fractional order
Spatial information
Data grid
Ordinary differential equation
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
作者:
Liao, Hong-lin
;
Tang, Tao
;
Zhou, Tao
  |  
收藏
  |  
浏览/下载:31/0
  |  
提交时间:2020/06/30
Time-fractional Allen-Cahn equation
Alikhanov formula
Adaptive time-stepping strategy
Discrete maximum principle
Sharp error estimate