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On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
Authors:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
Favorite  |  View/Download:84/0  |  Submit date:2023/02/07
Discounted Hamilton-Jacobi equation  Viscosity solution  Conjugated weak KAM solutions  Aubry Mather sets  Mane's genericity  
Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
Authors:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
Favorite  |  View/Download:101/0  |  Submit date:2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
Authors:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
Favorite  |  View/Download:83/0  |  Submit date:2023/02/07
Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 47
Authors:  Weng, Weifang;  Qiao, Zhijun;  Yan, Zhenya
Favorite  |  View/Download:121/0  |  Submit date:2022/04/29
Generalized cubic-quintic CH equation  Well-posedness  Wave breaking  Weak solutions  Non-periodic and periodic peakon solutions  
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials 期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
Authors:  Li, Xin;  Wang, Li;  Zhou, Zijian;  Chen, Yong;  Yan, Zhenya
Favorite  |  View/Download:164/0  |  Submit date:2022/04/29
Nonlinear Schrodinger equation  PT-symmetric harmonic-hyperbolic-Gaussian potential  Soliton stability  Soliton excitations and collisions  
Energy-preserving methods for guiding center system based on averaged vector field 期刊论文
PHYSICS OF PLASMAS, 2022, 卷号: 29, 期号: 3, 页码: 14
Authors:  Zhu, Beibei;  Tang, Yifa;  Liu, Jian
Favorite  |  View/Download:185/0  |  Submit date:2022/04/29
Essential Forward Weak KAM Solution for the Convex Hamilton-Jacobi Equation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 页码: 10
Authors:  Su, Xi Feng;  Zhang, Jian Lu
Favorite  |  View/Download:129/0  |  Submit date:2022/04/02
Hamilton-Jacobi equation  discounted equation  weak KAM solution  Aubry-Mather theory  viscosity solution  

Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials

期刊论文

CHAOS, 2022, 卷号: 32, 期号: 2, 页码: 13
Authors:  Chen, Yong;  Song, Jin;  Li, Xin;  Yan, Zhenya
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Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials 期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
Authors:  Zhong, Ming;  Chen, Yong;  Yan, Zhenya;  Tian, Shou-Fu
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The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
Authors:  Hou, Baohui;  Liang, Dong
Favorite  |  View/Download:137/0  |  Submit date:2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations