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Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes 期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
作者:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：72/0  |  提交时间：2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：130/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
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：124/0  |  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  
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
作者:  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Logarithmic nonlinear Schrodinger equation  PT-symmetric potentials  Physics-informed neural networks  Deep learning  Data-driven discovery of LNLS equation  Data-driven solitons  
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：178/0  |  提交时间：2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Vector financial rogue waves 期刊论文
PHYSICS LETTERS A, 2011, 卷号: 375, 期号: 48, 页码: 4274-4279
作者:  Yan, Zhenya
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Black-Scholes option pricing model  The coupled nonlinear volatility and option pricing model  Adaptive nonlinear Schrodinger equation  Controlled stochastic volatility  Financial markets  Vector financial rogue waves (rogons)  
Exact analytical solutions for the generalized non-integrable nonlinear Schrodinger equation with varying coefficients 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 48, 页码: 4838-4843
作者:  Yan, Zhenya
收藏  |  浏览/下载：66/0  |  提交时间：2018/07/30
Generalized non integrable nonlinear  Schrodinger equation with varying  coefficients  Similarity transformation  The tri function method  Analytical solutions  
Nonautonomous "rogons" in the inhomogeneous nonlinear Schrodinger equation with variable coefficients 期刊论文
PHYSICS LETTERS A, 2010, 卷号: 374, 期号: 4, 页码: 672-679
作者:  Yan, Zhenya
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Inhomogeneous NLS equation with variable coefficients  Similarity transformation  Rational-like solutions  Rogue waves  Rogons  
Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas 期刊论文
PHYSICS LETTERS A, 2009, 卷号: 373, 期号: 29, 页码: 2432-2437
作者:  Yan, Zhenya
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Quantum plasmas  Extended quantum Zakharov-Kuznetsov equation  Periodic waves  Solitary waves  Rational solutions  
New binary travelling-wave periodic solutions for the modified KdV equation 期刊论文
PHYSICS LETTERS A, 2008, 卷号: 372, 期号: 7, 页码: 969-977
作者:  Yan, Zhenya
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30