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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
Authors:  Zhenya Yan
Favorite  |  View/Download：6/0  |  Submit date：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
Authors:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
Favorite  |  View/Download：6/0  |  Submit date：2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
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
Authors:  Lou, S. Y.;  Hu, X. B.;  Liu, Q. P.
Favorite  |  View/Download：76/0  |  Submit date：2021/10/26
Integrable Hierarchies  Integrable Field Theories  Space-Time Symmetries  
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
Authors:  Yan, Zhenya
Favorite  |  View/Download：73/0  |  Submit date：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
Authors:  Wang, Guanfa;  Wang, Yong;  Zhou, Jiawei
Favorite  |  View/Download：62/0  |  Submit date：2022/04/02
Boltzmann equation  compressible Euler equations  hydrodynamic limit  Hilbert expansion  a priori estimate  planar rarefaction wave  
Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 页码: 33
Authors:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Szmigielski, Jacek;  Zhedanov, Alexei
Favorite  |  View/Download：85/0  |  Submit date：2020/05/24
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:  Yan, Zhenya
Favorite  |  View/Download：116/0  |  Submit date：2020/01/10
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
Authors:  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download：112/0  |  Submit date：2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
Authors:  Chang, Xiangke;  He, Yi;  Hu, Xingbiao;  Li, Shihao;  Tam, Hon-wah;  Zhang, Yingnan
Favorite  |  View/Download：91/0  |  Submit date：2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 79, 页码: 123-130
Authors:  Yan, Zhenya
Favorite  |  View/Download：82/0  |  Submit date：2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions