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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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N-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method
期刊论文
WAVE MOTION, 2022, 卷号: 114, 页码: 13
Authors:
Zhang, Minghe
;
Weng, Weifang
;
Yan, Zhenya
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View/Download:22/0
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Submit date:2023/02/07
Multi-component third-fifth-order mKdV
equations
Lax pair
Riemann-Hilbert approach
Soliton solutions
Breathers
A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations
期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 3, 页码: 29
Authors:
Liu, Jun
;
Wang, Xiang-Sheng
;
Wu, Shu-Lin
;
Zhou, Tao
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View/Download:68/0
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Submit date:2022/04/29
Direct PinT algorithms
Diagonalization technique
Condition number
Wave-type equations
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities
期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
Authors:
Qin, Guoquan
;
Yan, Zhenya
;
Guo, Boling
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View/Download:80/0
  |  
Submit date:2022/04/02
mCH-Novikov-CH equation
Wave breaking
Local well-posedness
Holder continuity
Non-periodic and periodic peakon and multi-peakon solutions
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows
期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
Authors:
Hu, Lijun
;
Yuan, Li
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View/Download:89/0
  |  
Submit date:2021/10/26
Euler equations
Centred schemes
FORCE scheme
Contact discontinuity
Carbuncle phenomenon
Boundary variation diminishing
Numerical calculation of N-periodic wave solutions to coupled KdV-Toda-type equations
期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2021, 卷号: 477, 期号: 2245, 页码: 21
Authors:
Zhang, Yingnan
;
Hu, Xingbiao
;
Sun, Jianqing
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View/Download:87/0
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Submit date:2021/04/26
N-periodic wave solution
coupled KdV-Toda-type equation
Riemann's -function
the direct method
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows
期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 213, 页码: 15
Authors:
Hu, Lijun
;
Yuan, Li
;
Zhao, Kunlei
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View/Download:96/0
  |  
Submit date:2021/04/26
Euler equations
HLL-type Riemann solver
Genuinely two-dimensional
Zha-Bilgen splitting
Carbuncle phenomenon
Shock instability
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
Authors:
Zhang, Guoqiang
;
Yan, Zhenya
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View/Download:125/0
  |  
Submit date:2020/09/23
Derivative nonlinear Schrodinger equation
Modified Zakharov-Shabat eigenvalue problem
Inverse scattering
Riemann-Hilbert problem
Zero
nonzero boundary conditions
Double-pole solitons and breathers
A NOVEL LEAST SQUARES METHOD FOR HELMHOLTZ EQUATIONS WITH LARGE WAVE NUMBERS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 5, 页码: 3091-3123
Authors:
Hu, Qiya
;
Song, Rongrong
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View/Download:104/0
  |  
Submit date:2021/01/14
Helmholtz equations
inhomogeneous media
large wave number
auxiliary unknowns
least squares
error estimates
preconditioner
Existence of optical vortices in R-2
期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 卷号: 50, 页码: 67-85
Authors:
Guo, Qing
;
Cao, Daomin
;
Li, Hang
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View/Download:166/0
  |  
Submit date:2020/01/10
Optical vortices
Variational methods
Concentration compactness
Nodal solutions
L-2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 5, 页码: 2737-2791
Authors:
Kang, Moon-Jin
;
Vasseur, Alexis F.
;
Wang, Yi
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View/Download:179/0
  |  
Submit date:2020/01/10