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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  
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.;  Luo, Xu-Dan;  Musslimani, Ziad H.;  Zhu, Yi
收藏  |  浏览/下载：108/0  |  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
收藏  |  浏览/下载：95/0  |  提交时间：2022/06/21
inverse scattering transform  Riemann–Hilbert problems  Gel’fand–Levitan–Marchenko equations  the derivative NLS equations  solitons  
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  
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  
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrodinger equation 期刊论文
CHAOS, 2021, 卷号: 31, 期号: 6, 页码: 9
作者:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya;  Konotop, Vladimir V.
收藏  |  浏览/下载：92/0  |  提交时间：2022/04/02
Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 2, 页码: 23
作者:  Chang, Xiang-Ke;  Li, Shi-Hao;  Tsujimoto, Satoshi;  Yu, Guo-Fu
收藏  |  浏览/下载：140/0  |  提交时间：2021/04/26
Two-parameter Cauchy two-matrix model  Toda-type lattice  Gram determinant technique  
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
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Boltzmann equation  compressible Euler equations  hydrodynamic limit  Hilbert expansion  a priori estimate  planar rarefaction wave  
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;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
收藏  |  浏览/下载：136/0  |  提交时间：2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization