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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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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations
期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
Authors:
Weng, Weifang
;
Zhang, Minghe
;
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:25/0
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Submit date:2023/02/07
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator
期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
Authors:
Zhong, Ming
;
Yan, Zhenya
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View/Download:27/0
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Submit date:2023/02/07
Integrable fractional nonlinear wave equations
Fourier neural operator
Deep learning
Data-driven soliton mapping
Activation function
Channel of fully-connected layer
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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Submit date:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
Vector semi-rational rogon-solitons and asymptotic analysis for any multi-component Hirota equations with mixed backgrounds
期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 卷号: 74, 期号: 9, 页码: 17
Authors:
Weng, Weifang
;
Zhang, Guoqiang
;
Chen, Shuyan
;
Zhou, Zijian
;
Yan, Zhenya
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View/Download:30/0
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Submit date:2023/02/07
Multi-componentHirotaequations
mixedbackgrounds
modifiedDarbouxtransform
semi-rational RWs and W-shaped solitons
asymptotic analysis
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
Authors:
Weng, Weifang
;
Yan, Zhenya
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View/Download:104/0
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Submit date:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
New type of source extension for a two-dimensional special lattice equation and determinant solutions
期刊论文
Advances in Difference Equations, 2021, 卷号: 2021, 期号: 1
Authors:
Wang,Hong-Yan
;
Zhu,Guo-Qing
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View/Download:98/0
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Submit date:2021/04/26
Two-dimensional special lattice equation
Self-consistent sources
Determinant solution
Soliton solution
A semi-discrete modified KdV equation
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
Authors:
Sun, Jianqing
;
Hu, Xingbiao
;
Zhang, Yingnan
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Submit date:2018/07/30
The modified two-dimensional Toda lattice with self-consistent sources
期刊论文
Advances in Difference Equations, 2017, 卷号: 2017, 期号: 1
Authors:
Gegenhasi,
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Submit date:2018/07/30
modified two-dimensional Toda lattice equation
source generation procedure
Grammian determinant
Casorati determinant
37K10
37K40
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:108/0
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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
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction
期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
Authors:
Zhang Yingnan
;
He Yi
;
Tam HonWah
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Submit date:2021/01/14
SOLITON-SOLUTIONS
EQUATIONS
LATTICE
Integrability
soliton solution
Backlund transformation (BT)
nonlinear superposition formula