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数学与系统科学研究... [18]
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期刊论文 [26]
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Physics [1]
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Coupled generalized nonlinear Schrodinger equations solved by adaptive step size methods in interaction picture
期刊论文
OAI收割
CHINESE PHYSICS B, 2023, 卷号: 32, 期号: 2, 页码: 24213
作者:
Chen L
;
Li P(李磐)
;
Liu HS(刘河山)
;
Yu, Jin
;
Ke, ChangJun
  |  
收藏
  |  
浏览/下载:22/0
  |  
提交时间:2023/04/20
nonlinear optics
optical propagation in nonlinear media
coupled generalized nonlinear Schrodinger equations (C GNLSE)
adaptive step size methods
Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials
期刊论文
OAI收割
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:
Zhong, Ming
;
Zhang, Jian-Guo
;
Zhou, Zijian
;
Tian, Shou-Fu
;
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:18/0
  |  
提交时间:2023/02/07
Focusing and defocusing nonlinear Schrodinger equations
Generalized PT-Scarf-II potential
Physics-informed deep neural networks
Data-driven solitons and parameters discovery
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations
期刊论文
OAI收割
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
作者:
Luo, Haijun
;
Zhang, Zhitao
  |  
收藏
  |  
浏览/下载:14/0
  |  
提交时间:2023/02/07
biharmonic nonlinear Schrodinger equations
normalized solution
orbital stability
general nonlinearity
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval
期刊论文
OAI收割
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:33/0
  |  
提交时间:2021/10/26
general three-component nonlinear Schrodinger equations
initial-boundary value problem
inverse scattering
Riemann-Hilbert problem
global relation
Dirichlet and Neumann problems
Gel'fand-Levitan-Marchenko representation
Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 475, 期号: 1, 页码: 350-363
作者:
Luo, Haijun
;
Zhang, Zhitao
  |  
收藏
  |  
浏览/下载:52/0
  |  
提交时间:2020/01/10
Nonlinear Schrodinger equations
Bound state solution
Perturbation method
Pohozaev-Nehari identity
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics
期刊论文
OAI收割
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:
Zhang, Guoqiang
;
Yan, Zhenya
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收藏
  |  
浏览/下载:30/0
  |  
提交时间:2018/09/08
n-component nonlinear Schrodinger equations
Darboux transformation dark-bright mixed solitons
dark-bright mixed high-order solitons
wing-shaped structure of the breathers
dynamics
Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials
期刊论文
OAI收割
ANNALS OF PHYSICS, 2017, 卷号: 386, 页码: 44-57
作者:
Chen, Yong
;
Yan, Zhenya
  |  
收藏
  |  
浏览/下载:32/0
  |  
提交时间:2018/07/30
The generalized linear and nonlinear Schrodinger equations
PT-symmetric periodic potentials
Effective-mass modulation
Optical solitons
Stability
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrodinger equations
期刊论文
OAI收割
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 卷号: 473, 期号: 2203, 页码: 19
作者:
Zhang, Guoqiang
;
Yan, Zhenya
;
Wen, Xiao-Yong
  |  
收藏
  |  
浏览/下载:25/0
  |  
提交时间:2018/07/30
coupled nonlinear Schrodinger equations with four-wave mixing
modulational instability
Darboux transformation
beak-shaped rogue wave
multi-dark-dark solitons
dynamics
Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials
期刊论文
OAI收割
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 239-250
作者:
Dai, Chao-Qing
;
Zhang, Xiao-Fei
;
Fan, Yan
;
Chen, Liang
  |  
收藏
  |  
浏览/下载:18/0
  |  
提交时间:2021/11/29
Localized modes
PT-symmetric potential
(n+1)-dimensional nonlinear Schrodinger equations
power-law nonlinearity
Stability
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations
期刊论文
OAI收割
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
作者:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
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收藏
  |  
浏览/下载:31/0
  |  
提交时间:2018/07/30
Coupled stochastic nonlinear Schrodinger equations
compact scheme
stochastic multi-symplectic conservation law
energy evolution law
charge conservation law
soliton evolution
soliton interaction