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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
作者:
Zhou, Zijian
;
Wang, Li
;
Yan, Zhenya
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浏览/下载:2/0
  |  
提交时间:2023/02/07
Deep neural networks
B?cklund transform
Miura transform
Soliton equations
Breathers
Solitons
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation
期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:
Hu, Xingbiao
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浏览/下载:9/0
  |  
提交时间:2021/01/14
mKdV-sine-Gordon equation
3-periodic wave solution
integrable discre-tization
Addition formulae, Backlund transformations, periodic solutions, and quadrilateral equations
期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2019, 卷号: 14, 页码: 203-223
作者:
Zhang, Danda[1]
;
Zhang, Da-jun[2]
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浏览/下载:9/0
  |  
提交时间:2019/04/22
Addition formulae
trigonometric functions
elliptic functions
Backlund transformation
quadrilateral equations
Backlund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation
期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 89, 页码: 103-110
作者:
Zhao, Zhonglong
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浏览/下载:5/0
  |  
提交时间:2019/12/11
Modified Kadomtsev-Petviashvili equation
Backlund transformation
Rational solutions
Soliton-cnoidal wave solutions
On Decomposition of the ABS Lattice Equations and Related Backlund Transformations
期刊论文
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2018, 卷号: 25, 页码: 34-53
作者:
Zhang, Danda[1]
;
Zhang, Da-jun[2]
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浏览/下载:2/0
  |  
提交时间:2019/04/24
ABS list
decomposition
Backlund transformation
solutions
weak Lax pair
Nonlocal symmetries of Frobenius sinh-Gordon systems
期刊论文
ADVANCES IN DIFFERENCE EQUATIONS, 2018
作者:
Zhou, Huijuan
;
Li, Chuanzhong
;
Li, Xinyue
;
Li, Fushan
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  |  
浏览/下载:13/0
  |  
提交时间:2019/12/11
Backlund transformations
Frobenius sinh-Gordon equation
Nonlocal
symmetry
Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations
期刊论文
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 卷号: 12, 期号: 9, 页码: 2011-2015
作者:
Yong, Fang
;
Yuan, Kong
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  |  
浏览/下载:15/0
  |  
提交时间:2016/10/31
Integrable Decompositions
(2+1) Dimensional Soliton Equations
Backlund Transformations
Operator Transformation
New Backlund transformations and new multisoliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
期刊论文
PHYSICA SCRIPTA, 2015, 卷号: 90, 期号: 2
作者:
Na, Liu
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浏览/下载:4/0
  |  
提交时间:2019/12/17
(3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
Backlund
transformation
multisoliton solutions
Lax pair
Backlund transformations and soliton solutions for a (2+1)-dimensional Korteweg-de Vries-type equation in water waves
期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 页码: 1815-1821
作者:
Wang, Yun-Po
;
Tian, Bo
;
Wang, Ming
;
Wang, Yu-Feng
;
Sun, Ya
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  |  
浏览/下载:8/0
  |  
提交时间:2020/01/06
Symbolic computation
(2+1)-dimensional Korteweg-de Vries-type equation
On a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli Equation
期刊论文
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 卷号: 70, 页码: 309-316
作者:
Zuo, Da-Wei
;
Gao, Yi-Tian
;
Yu, Xin
;
Sun, Yu-Hao
;
Xue, Long
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  |  
浏览/下载:25/0
  |  
提交时间:2020/01/06
Backlund Transformations
Boiti-Leon-Manna-Pempinelli Equation
Lax pairs
Multi-Soliton Solutions
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