Zhenya Yan

Orcid: 0000-0002-9475-3753

According to our database1, Zhenya Yan authored at least 41 papers between 2005 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Forward to the Special Topic on "Solving Differential Equations with Deep Learning".
J. Syst. Sci. Complex., April, 2024

2023
Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons.
Comput. Math. Appl., December, 2023

Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized <i>PT</i>-Scarf-II Potentials.
Neural Process. Lett., June, 2023

Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a PT-symmetric optical lattice.
Comput. Math. Appl., June, 2023

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., April, 2023

Deep learning soliton dynamics and complex potentials recognition for 1D and 2D PT-symmetric saturable nonlinear Schrödinger equations.
CoRR, 2023

Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones.
CoRR, 2023

2022
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator.
CoRR, 2022

Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two PT-symmetric non-periodic potentials.
Appl. Math. Lett., 2022

Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds.
Appl. Math. Lett., 2022

2021
Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates.
J. Nonlinear Sci., 2021

Radar Emitter Identification Based on Auto-Correlation Function and Bispectrum via Convolutional Neural Network.
IEICE Trans. Commun., 2021

Radar Emitter Identification Based on Novel Time-Frequency Spectrum and Convolutional Neural Network.
IEEE Commun. Lett., 2021

Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons.
CoRR, 2021

Data-driven discovery of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes.
CoRR, 2021

Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves.
CoRR, 2021

Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning.
CoRR, 2021

Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials.
Appl. Math. Lett., 2021

2020
The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions.
J. Nonlinear Sci., 2020

Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning.
CoRR, 2020

Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions.
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves.
Appl. Math. Lett., 2019

2018
Three-component nonlinear Schrödinger equations: Modulational instability, <i>N</i>th-order vector rational and semi-rational rogue waves, and dynamics.
Commun. Nonlinear Sci. Numer. Simul., 2018

One- and two-dimensional gap solitons and dynamics in the PT-symmetric lattice potential and spatially-periodic momentum modulation.
Commun. Nonlinear Sci. Numer. Simul., 2018

Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions.
Commun. Nonlinear Sci. Numer. Simul., 2018

A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations.
Appl. Math. Lett., 2018

2017
Higher-order rational solitons and rogue-like wave solutions of the (2 + 1)-dimensional nonlinear fluid mechanics equations.
Commun. Nonlinear Sci. Numer. Simul., 2017

Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants.
Appl. Math. Lett., 2017

2016
Nonlocal general vector nonlinear Schrödinger equations: Integrability, PT symmetribility, and solutions.
Appl. Math. Lett., 2016

2015
Integrable PT-symmetric local and nonlocal vector nonlinear Schrödinger equations: A unified two-parameter model.
Appl. Math. Lett., 2015

2014
New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients.
Appl. Math. Comput., 2014

2011
Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients.
Appl. Math. Comput., 2011

2009
Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity.
Appl. Math. Lett., 2009

2008
Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations.
Comput. Math. Appl., 2008

The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions.
Appl. Math. Comput., 2008

2007
Globally Exponential Hyperchaos (Lag) Synchronization in a Family of Modified hyperchaotic RÖssler Systems.
Int. J. Bifurc. Chaos, 2007

2006
A New Hierarchy of Lax and Liouville Integrable Evolution Equations Associated with an Isospectral Problem in the Loop Algebra Ã<sub>2</sub>.
J. Syst. Sci. Complex., 2006

Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system.
Appl. Math. Comput., 2006

2005
Controlling hyperchaos in the new hyperchaotic Chen system.
Appl. Math. Comput., 2005

Numerical doubly periodic solution of the KdV equation with the initial condition via the decomposition method.
Appl. Math. Comput., 2005

Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method.
Appl. Math. Comput., 2005


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