Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method. - Zhenya Yan (Appl. Math. Comput., 2005)

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

Controlling hyperchaos in the new hyperchaotic Chen system. - Zhenya Yan (Appl. Math. Comput., 2005)

Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. - Yong Chen; Zhenya Yan (Appl. Math. Comput., 2006)

A New Hierarchy of Lax and Liouville Integrable Evolution Equations Associated with an Isospectral Problem in the Loop Algebra Ã2. - Zhenya Yan (J. Syst. Sci. Complex., 2006)

Globally Exponential Hyperchaos (Lag) Synchronization in a Family of Modified hyperchaotic RÖssler Systems. - Zhenya Yan; Pei Yu (Int. J. Bifurc. Chaos, 2007)

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

Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations. - Deng-Shan Wang; Zhenya Yan; Hongbo Li 012 (Comput. Math. Appl., 2008)

Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. - Zhenya Yan (Appl. Math. Lett., 2009)

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

New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. - Fajun Yu; Zhenya Yan (Appl. Math. Comput., 2014)

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

Nonlocal general vector nonlinear Schrödinger equations: Integrability, PT symmetribility, and solutions. - Zhenya Yan (Appl. Math. Lett., 2016)

Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. - Guoqiang Zhang; Zhenya Yan; Yong Chen (Appl. Math. Lett., 2017)

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

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

Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. - Yong Chen; Zhenya Yan (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. - Yong Chen; Zhenya Yan; Xin Li (Commun. Nonlinear Sci. Numer. Simul., 2018)

Three-component nonlinear Schrödinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics. - Guoqiang Zhang; Zhenya Yan (Commun. Nonlinear Sci. Numer. Simul., 2018)

The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. - Shuyan Chen; Zhenya Yan (Appl. Math. Lett., 2019)

Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions. - Guoqiang Zhang; Shuyan Chen; Zhenya Yan (Commun. Nonlinear Sci. Numer. Simul., 2020)

Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning. - Li Wang; Zhenya Yan (CoRR, 2020)

The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions. - Guoqiang Zhang; Zhenya Yan (J. Nonlinear Sci., 2020)

Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. - Li Wang; Zhenya Yan (Appl. Math. Lett., 2021)

Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning. - Li Wang; Zhenya Yan (CoRR, 2021)

Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves. - Zijian Zhou; Zhenya Yan (CoRR, 2021)

Data-driven discovery of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes. - Zijian Zhou; Li Wang; Zhenya Yan (CoRR, 2021)

Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons. - Zijian Zhou; Li Wang; Zhenya Yan (CoRR, 2021)

Radar Emitter Identification Based on Novel Time-Frequency Spectrum and Convolutional Neural Network. - Zhiling Xiao; Zhenya Yan (IEEE Commun. Lett., 2021)

Radar Emitter Identification Based on Auto-Correlation Function and Bispectrum via Convolutional Neural Network. - Zhiling Xiao; Zhenya Yan (IEICE Trans. Commun., 2021)

Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates. - Guoqiang Zhang; Liming Ling; Zhenya Yan (J. Nonlinear Sci., 2021)

Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. - Weifang Weng; Guoqiang Zhang; Zijian Zhou; Zhenya Yan (Appl. Math. Lett., 2022)

Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two PT-symmetric non-periodic potentials. - Zijian Zhou; Jin Song; Weifang Weng; Zhenya Yan (Appl. Math. Lett., 2022)

Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator. - Ming Zhong; Zhenya Yan (CoRR, 2022)

Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones. - Junchao Chen 002; Jin Song; Zijian Zhou; Zhenya Yan (CoRR, 2023)

Deep learning soliton dynamics and complex potentials recognition for 1D and 2D PT-symmetric saturable nonlinear Schrödinger equations. - Jin Song; Zhenya Yan (CoRR, 2023)

Stable matter-wave solitons, interactions, and excitations in the spinor F=1 Bose-Einstein condensates with PT- and non-PT-symmetric potentials. - Ming Zhong; Zhenya Yan; Shou-Fu Tian (Commun. Nonlinear Sci. Numer. Simul., 2023)

Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a PT-symmetric optical lattice. - Li Wang; Zijian Zhou; Zhenya Yan (Comput. Math. Appl., 2023)

Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials. - Ming Zhong; Jian-Guo Zhang; Zijian Zhou; Shou-Fu Tian; Zhenya Yan (Neural Process. Lett., 2023)

Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons. - Zijian Zhou; Li Wang; Zhenya Yan (Comput. Math. Appl., 2023)

Data-driven 2D stationary quantum droplets and wave propagations in the amended GP equation with two potentials via deep neural networks learning. - Jin Song; Zhenya Yan (CoRR, 2024)

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? - Zijian Zhou; Zhenya Yan (CoRR, 2024)

Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations. - Jin Song; Ming Zhong; George Em Karniadakis; Zhenya Yan (J. Comput. Phys., 2024)

Forward to the Special Topic on "Solving Differential Equations with Deep Learning". - Zhenya Yan (J. Syst. Sci. Complex., 2024)

The defocusing Lakshmanan-Porsezian-Daniel equation with elliptic function backgrounds: N-elliptic-dark solitons and asymptotic behaviors. - Xin Wang; Zhenya Yan; Xiangyu Yang (Appl. Math. Lett., 2025)

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations. - Jin Song; Kenji Kawaguchi; Zhenya Yan (CoRR, 2025)