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PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
作者:  Chen, Yong;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载：126/0  |  提交时间：2022/04/29
Higher-dimensional nonlinear Schrodinger equation  PT -symmetric potentials  Stable solitons  Adiabatic management  
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：116/0  |  提交时间：2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2020, 卷号: 476, 期号: 2242, 页码: 22
作者:  Wen, Xiao-Yong;  Yan, Zhenya;  Zhang, Guoqiang
收藏  |  浏览/下载：131/0  |  提交时间：2021/01/14
nonlinear self-dual network equations  modulation instability  generalized perturbation Darboux transformation  rational solitons  stability  
Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order 期刊论文
NUMERICAL ALGORITHMS, 2020, 卷号: 83, 期号: 2, 页码: 593-627
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Sun, Jian-Qing;  Weniger, Ernst Joachim
收藏  |  浏览/下载：128/0  |  提交时间：2020/05/24
Convergence acceleration algorithm  Sequence transformation  Epsilon algorithm  Rho algorithm  
The dynamics of conservative peakons in a family of U(1)-invariant integrable equations of NLS-Hirota type 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2018, 卷号: 141, 期号: 4, 页码: 680-713
作者:  Anco, Stephen C.;  Chang, Xiangke;  Szmigielski, Jacek
收藏  |  浏览/下载：142/0  |  提交时间：2019/01/11
inverse problems  Pade approximations  peakons  tri-Hamiltonian  weak solutions