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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
收藏  |  浏览/下载：118/0  |  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
收藏  |  浏览/下载：55/0  |  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
收藏  |  浏览/下载：68/0  |  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  
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
作者:  Zhenya Yan
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
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
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
Hermite-Pade approximations with Pfaffian structures: Novikov peakon equation and integrable lattices 期刊论文
ADVANCES IN MATHEMATICS, 2022, 卷号: 402, 页码: 45
作者:  Chang, Xiang-Ke
收藏  |  浏览/下载：52/0  |  提交时间：2023/02/07
Hermite-Pade approximation  Biorthogonal polynomials  Novikov equation  Multipeakons  
A generalization of Laurent biorthogonal polynomials and related integrable lattices 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 卷号: 55, 期号: 21, 页码: 15
作者:  Wang, Bao;  Chang, Xiang-Ke;  Yue, Xiao-Lu
收藏  |  浏览/下载：54/0  |  提交时间：2023/02/07
Laurent biorthogonal polynomials  relativistic Toda lattice  compatibility  
Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
作者:  Weng, Weifang;  Zhang, Guoqiang;  Wang, Li;  Zhang, Minghe;  Yan, Zhenya
收藏  |  浏览/下载：157/0  |  提交时间：2022/04/29
n-component Hirota equation  Non-zero backgrounds  Modified Darboux transform  Multiple roots  Rational RWs and W-shaped solitons  Non-integrable deformation  
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
收藏  |  浏览/下载：158/0  |  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  
Duality of positive and negative integrable hierarchies via relativistically invariant fields 期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
作者:  Lou, S. Y.;  Hu, X. B.;  Liu, Q. P.
收藏  |  浏览/下载：126/0  |  提交时间：2021/10/26
Integrable Hierarchies  Integrable Field Theories  Space-Time Symmetries