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Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 卷号: 346, 页码: 254-276
作者:
Liu, Lingjun
;
Wang, Danli
;
Xu, Lingda
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浏览/下载:40/0
  |  
提交时间:2023/02/07
Navier-Stokes equations
Composite wave
Periodic perturbation
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
作者:
Weng, Weifang
;
Zhang, Minghe
;
Zhang, Guoqiang
;
Yan, Zhenya
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浏览/下载:8/0
  |  
提交时间: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
作者:
Zhong, Ming
;
Yan, Zhenya
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浏览/下载:11/0
  |  
提交时间: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 rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning
期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:
Zhong, Ming
;
Gong, Shibo
;
Tian, Shou-Fu
;
Yan, Zhenya
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  |  
浏览/下载:9/0
  |  
提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation
ComplexPT-symmetricpotentials
Physics-informeddeepneuralnetworks
Data-driven rogue waves and parameters discovery discovery
Integrable nonlocal derivative nonlinear Schrodinger equations
期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 6, 页码: 34
作者:
Ablowitz, Mark J.
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浏览/下载:16/0
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提交时间:2022/06/21
inverse scattering transform
Riemann-Hilbert problems
Gel'fand-Levitan-Marchenko equations
the derivative NLS equations
solitons
Integrable nonlocal derivative nonlinear Schr?dinger equations
期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 6
作者:
Ablowitz,Mark J
;
Luo,Xu-Dan
;
Musslimani,Ziad H
;
Zhu,Yi
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浏览/下载:12/0
  |  
提交时间:2022/06/21
inverse scattering transform
Riemann–Hilbert problems
Gel’fand–Levitan–Marchenko equations
the derivative NLS equations
solitons
Gauge/Bethe correspondence from quiver BPS algebras
期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2022, 期号: 11, 页码: 119
作者:
Galakhov, Dmitry
;
Li, Wei
;
Yamazaki, Masahito
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浏览/下载:2/0
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提交时间:2023/01/16
DONALDSON-THOMAS INVARIANTS
ADS/CFT INTEGRABILITY
BETHE-ANSATZ
CALABI-YAU
R-MATRIX
QUANTUM
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
作者:
Zhang, Guoqiang
;
Ling, Liming
;
Yan, Zhenya
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浏览/下载:60/0
  |  
提交时间:2021/10/26
Multi-component NLS equations
Nonzero boundary conditions
Lax pair
Loop group method
Darboux transform
Higher-order vector Peregrine solitons
Parity-time-reversal symmetry
Governing polynomial
Asymptotic estimates
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval
期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:
Yan, Zhenya
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  |  
浏览/下载:56/0
  |  
提交时间:2021/10/26
general three-component nonlinear Schrodinger equations
initial-boundary value problem
inverse scattering
Riemann-Hilbert problem
global relation
Dirichlet and Neumann problems
Gel'fand-Levitan-Marchenko representation
HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE
期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 4, 页码: 4692-4726
作者:
Wang, Guanfa
;
Wang, Yong
;
Zhou, Jiawei
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  |  
浏览/下载:6/0
  |  
提交时间:2022/04/02
Boltzmann equation
compressible Euler equations
hydrodynamic limit
Hilbert expansion
a priori estimate
planar rarefaction wave
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