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Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
作者:  Liu, Yechi
收藏  |  浏览/下载：85/0  |  提交时间：2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
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：64/0  |  提交时间：2023/02/07
Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
Dynamics of nonlinear hyperbolic equations of Kirchhoff type 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 卷号: 61, 期号: 3, 页码: 43
作者:  Chen, Jianyi;  Sun, Yimin;  Xiu, Zonghu;  Zhang, Zhitao
收藏  |  浏览/下载：104/0  |  提交时间：2022/06/21
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
作者:  Li, Xin;  Wang, Li;  Zhou, Zijian;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：136/0  |  提交时间：2022/04/29
Nonlinear Schrodinger equation  PT-symmetric harmonic-hyperbolic-Gaussian potential  Soliton stability  Soliton excitations and collisions  

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
作者:  Chen, Yong;  Song, Jin;  Li, Xin;  Yan, Zhenya
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
Wave Phenomena to the Three-Dimensional Fluid-Particle Model 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 1019-1089
作者:  Li, Hai-Liang;  Wang, Teng;  Wang, Yi
收藏  |  浏览/下载：120/0  |  提交时间：2022/04/02
STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 4, 页码: 4930-4953
作者:  Chen, Liang-Biao;  Yao, Peng-Fei
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
shell  nonlinear elasticity  Riemannian geometry  tensor analysis  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
作者:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
收藏  |  浏览/下载：131/0  |  提交时间：2022/04/02
Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：125/0  |  提交时间：2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Strain tensors on hyperbolic surfaces and their applications 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 281, 期号: 1, 页码: 36
作者:  Yao, Peng-Fei
收藏  |  浏览/下载：177/0  |  提交时间：2021/06/01
Keywords hyperbolic surface  Shell  Nonlinear elasticity  Riemannian geometry