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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes
期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
Authors:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
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View/Download:34/0
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Submit date:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media
期刊论文
CHAOS, 2018, 卷号: 28, 期号: 4, 页码: 11
Authors:
Shen, Yujia
;
Wen, Zichao
;
Yan, Zhenya
;
Hang, Chao
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View/Download:140/0
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Submit date:2018/07/30
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
Authors:
Chen, Chuchu
;
Hong, Jialin
;
Ji, Lihai
;
Kong, Linghua
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View/Download:109/0
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Submit date: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
On the nontrivial non-travelling wave profiles of nonlinear evolution and wave equations
期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 卷号: 14, 期号: 4, 页码: 1176-1185
Authors:
Shen, Yaliang
;
Zhu, Yueping
;
Cao, Nanbin
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View/Download:62/0
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Submit date:2018/07/30
Symbolic computation
Newly extended tanh-function expansion method
Non-travelling wave solution
Soliton-like solution
Symbolic computation and non-travelling wave solutions of (2+1)-dimensional nonlinear evolution equations
期刊论文
CHAOS SOLITONS & FRACTALS, 2008, 卷号: 38, 期号: 2, 页码: 383-390
Authors:
Wang, Deng-Shan
;
Li, Hongbo
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Submit date:2018/07/30
An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrodinger equation model
期刊论文
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 卷号: 2, 期号: 2, 页码: 242-255
Authors:
Chen, Yong
;
Li, Biao
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Submit date:2018/07/30
Subequation rational expansion method
Schrodinger equation
Like-solitons
Like-periodic function solution
Symbolic computation study of (2+1)-dimensional dispersive long wave equations
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 46, 期号: 2, 页码: 199-202
Authors:
Lu Zhuo-Sheng
;
Xie Fu-Ding
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Submit date:2018/07/30
dispersive long wave equations
symbolic computation
exact solution
localized structure
Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 卷号: 45, 期号: 5, 页码: 785-789
Authors:
Wang, MJ
;
Wang, Q
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Submit date:2018/07/30
extended Riccati equation rational expansion method
nonlinear stochastic evolution equation
stochastic mKdV equation
soliton-like solutions
A Burgers equation-based constructive method for solving nonlinear evolution equations
期刊论文
PHYSICS LETTERS A, 2006, 卷号: 353, 期号: 2-3, 页码: 158-160
Authors:
Lu, ZS
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Submit date:2018/07/30
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm
期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 8, 页码: 1798-1811
Authors:
Yan, ZY
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View/Download:54/0
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Submit date:2018/07/30
discrete soliton equations
discrete sine-Gordon expansion method
solitary wave solution
symbolic computation