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Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:
Wang, Li
;
Yan, Zhenya
收藏
  |  
浏览/下载:26/0
  |  
提交时间:2021/10/26
Defocusing NLS equation with the
time-dependent potential
Initial-boundary value conditions
Physics-informed neural networks
Deep learning
Data-driven rogue waves and parameter discovery
Optical soliton solutions, periodic wave solutions and complexitons of the cubic Schrodinger equation with a bounded potential
期刊论文
SUPERLATTICES AND MICROSTRUCTURES, 2018, 卷号: 113, 页码: 510-518
作者:
Yan, Xue-Wei
;
Tian, Shou-Fu
;
Dong, Min-Jie
;
Zou, Li
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/12/02
The cubic Schrodinger equation
Bright soliton solutions
Dark soliton solutions
Jacobi's elliptic function
Analytic periodic wave solution
Complexitons
An exact solution of the nonlinear Poisson-Boltzmann equation in parallel-plate geometry
期刊论文
Colloid and Polymer Science, 2018, 卷号: 296, 页码: 1917-1923
作者:
Zhang, Wenyao
;
Wang, Qiuwang
;
Zeng, Min
;
Zhao, Cunlu
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2019/11/26
Disjoining pressures
Electrostatic potentials
Exact analytical solutions
Finite element numerical simulation
Jacobi Elliptic function
Nonlinear poisson-boltzmann equation
Parallel plate geometry
Poisson-Boltzmann equations
Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 卷号: 64, 期号: 4, 页码: 464-472
作者:
Shi Yun-Long
;
Yang Hong-Wei
;
Yin Bao-Shu
;
Yang De-Zhou
;
Xu Zhen-Hua
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2016/02/05
forced dissipative nonlinear Schrodinger equation
envelope solitary Rossby waves
Jacobi elliptic function expansion method
Hirota's direct method
Dissipative Nonlinear Schrodinger Equation with External Forcing in Rotational Stratified Fluids and Its Solution
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 卷号: 64, 期号: 4, 页码: 464-472
作者:
Shi Yun-Long
;
Yang Hong-Wei
;
Yin Bao-Shu
;
Yang De-Zhou
;
Xu Zhen-Hua
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/12/17
forced dissipative nonlinear Schrodinger equation
envelope solitary
Rossby waves
Jacobi elliptic function expansion method
Hirota's direct
method
Exact solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion terms and self-steepening term
期刊论文
JOURNAL OF MODERN OPTICS, 2012, 卷号: 59, 期号: 1
作者:
Zhou, Qin
;
Yao, Duan-Zheng
;
Cui, Zhihai
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/12/05
nonlinear optical transmission equation
periodic wave solution
Jacobi elliptic function
solitary wave solution
Multi-symplectic method for the generalized (2+1)-dimensional KdV-mKdV equation
期刊论文
ACTA MECHANICA SINICA, 2012, 卷号: 28, 页码: 793-800
作者:
Hu, Wei-Peng
;
Deng, Zi-Chen
;
Qin, Yu-Yue
;
Zhang, Wen-Rong
收藏
  |  
浏览/下载:11/0
  |  
提交时间:2019/12/13
Generalized (2+1)-dimensional KdV-mKdV equation
Multi-symplectic
Periodic wave solution
Conservation law
Jacobi elliptic function
Discrete Jacobi sub-equation method for nonlinear differential-difference equations
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 卷号: 33, 页码: 1463-1472
作者:
Wang, Zhen
;
Ma, Wen-Xiu
收藏
  |  
浏览/下载:1/0
  |  
提交时间:2019/12/24
differential-difference equation
auxiliary solvable equation
Jacobi elliptic function solution
Klein-Gordon equation
discrete mKdV equation
More solutions of the auxiliary equation to get the solutions for a class of nonlinear partial differential equations
期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 卷号: 15, 页码: 3332-3338
作者:
Feng, Yang
;
Wang, Dan
;
Li, Wen-ting
;
Zhang, Hong-qing
收藏
  |  
浏览/下载:6/0
  |  
提交时间:2019/12/24
Auxiliary function method
Travelling wave solution
Jacobi elliptic function
Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity
期刊论文
APPLIED MATHEMATICS LETTERS, 2009, 卷号: 22, 期号: 4, 页码: 448-452
作者:
Yan, Zhenya
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2018/07/30
Discrete nonlinear Schrodinger equation with a saturable nonlinearity
Jacobi elliptic function
Envelope solution
Dark soliton solution
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