Zhenya Yan

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 31

Top Topics

Hamilton Jacobi

Eikonal Equation

Top Venues

Appl. Math. Lett.

Commun. Nonlinear Sci. Numer. Simul.

Comput. Math. Appl.

Publications

Zhenya Yan
Forward to the Special Topic on "Solving Differential Equations with Deep Learning". J. Syst. Sci. Complex. 37 (2) (2024)
Jin Song, Ming Zhong, George Em Karniadakis, Zhenya Yan
Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations. J. Comput. Phys. 505 (2024)
Li Wang, Zijian Zhou, Zhenya Yan
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a PT-symmetric optical lattice. Comput. Math. Appl. 140 (2023)
Ming Zhong, Zhenya Yan, Shou-Fu Tian
Stable matter-wave solitons, interactions, and excitations in the spinor F=1 Bose-Einstein condensates with PT- and non-PT-symmetric potentials. Commun. Nonlinear Sci. Numer. Simul. 118 (2023)
Junchao Chen, Jin Song, Zijian Zhou, Zhenya Yan
Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones. CoRR (2023)
Zijian Zhou, Li Wang, Zhenya Yan
Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons. Comput. Math. Appl. 151 (2023)
Jin Song, Zhenya Yan
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D PT-symmetric saturable nonlinear Schrödinger equations. CoRR (2023)
Ming Zhong, Jian-Guo Zhang, Zijian Zhou, Shou-Fu Tian, Zhenya Yan
-Scarf-II Potentials. Neural Process. Lett. 55 (3) (2023)
Ming Zhong, Zhenya Yan
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator. CoRR (2022)
Zijian Zhou, Jin Song, Weifang Weng, Zhenya Yan
Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two PT-symmetric non-periodic potentials. Appl. Math. Lett. 132 (2022)
Weifang Weng, Guoqiang Zhang, Zijian Zhou, Zhenya Yan
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. Appl. Math. Lett. 125 (2022)
Zhiling Xiao, Zhenya Yan
Radar Emitter Identification Based on Auto-Correlation Function and Bispectrum via Convolutional Neural Network. IEICE Trans. Commun. (12) (2021)
Zijian Zhou, Zhenya Yan
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves. CoRR (2021)
Li Wang, Zhenya Yan
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. Appl. Math. Lett. 111 (2021)
Zhiling Xiao, Zhenya Yan
Radar Emitter Identification Based on Novel Time-Frequency Spectrum and Convolutional Neural Network. IEEE Commun. Lett. 25 (8) (2021)
Li Wang, Zhenya Yan
Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning. CoRR (2021)
Guoqiang Zhang, Liming Ling, Zhenya Yan
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates. J. Nonlinear Sci. 31 (5) (2021)
Zijian Zhou, Li Wang, Zhenya Yan
Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons. CoRR (2021)
Zijian Zhou, Li Wang, Zhenya Yan
Data-driven discovery of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes. CoRR (2021)
Guoqiang Zhang, Zhenya Yan
The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions. J. Nonlinear Sci. 30 (6) (2020)
Li Wang, Zhenya Yan
Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning. CoRR (2020)
Guoqiang Zhang, Shuyan Chen, Zhenya Yan
Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions. Commun. Nonlinear Sci. Numer. Simul. 80 (2020)
Shuyan Chen, Zhenya Yan
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Appl. Math. Lett. 95 (2019)
Guoqiang Zhang, Zhenya Yan
th-order vector rational and semi-rational rogue waves, and dynamics. Commun. Nonlinear Sci. Numer. Simul. 62 (2018)
Yong Chen, Zhenya Yan
Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. Commun. Nonlinear Sci. Numer. Simul. 57 (2018)
Yong Chen, Zhenya Yan, Xin Li
One- and two-dimensional gap solitons and dynamics in the PT-symmetric lattice potential and spatially-periodic momentum modulation. Commun. Nonlinear Sci. Numer. Simul. 55 (2018)
Zhenya Yan
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Appl. Math. Lett. 79 (2018)
Xiao-Yong Wen, Zhenya Yan
Higher-order rational solitons and rogue-like wave solutions of the (2 + 1)-dimensional nonlinear fluid mechanics equations. Commun. Nonlinear Sci. Numer. Simul. 43 (2017)
Guoqiang Zhang, Zhenya Yan, Yong Chen
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. Appl. Math. Lett. 69 (2017)
Zhenya Yan
Nonlocal general vector nonlinear Schrödinger equations: Integrability, PT symmetribility, and solutions. Appl. Math. Lett. 62 (2016)
Zhenya Yan
Integrable PT-symmetric local and nonlocal vector nonlinear Schrödinger equations: A unified two-parameter model. Appl. Math. Lett. 47 (2015)
Fajun Yu, Zhenya Yan
New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Appl. Math. Comput. 233 (2014)
Zhenya Yan
Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients. Appl. Math. Comput. 217 (22) (2011)
Zhenya Yan
Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. Appl. Math. Lett. 22 (4) (2009)
Zhenya Yan
The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions. Appl. Math. Comput. 203 (1) (2008)
Deng-Shan Wang, Zhenya Yan, Hongbo Li
Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations. Comput. Math. Appl. 56 (6) (2008)
Zhenya Yan, Pei Yu
Globally Exponential Hyperchaos (Lag) Synchronization in a Family of Modified hyperchaotic RÖssler Systems. Int. J. Bifurc. Chaos 17 (5) (2007)
Yong Chen, Zhenya Yan
Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. Appl. Math. Comput. 177 (1) (2006)
Zhenya Yan
. J. Syst. Sci. Complex. 19 (3) (2006)
Zhenya Yan
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method. Appl. Math. Comput. 166 (3) (2005)
Zhenya Yan
Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method. Appl. Math. Comput. 168 (2) (2005)
Zhenya Yan
Controlling hyperchaos in the new hyperchaotic Chen system. Appl. Math. Comput. 168 (2) (2005)