070104-应用数学

数学物理、可积系统及应用
怪波、RH问题与方法、PT对称
PDE机器学习、符号-数值计算

数学物理方程
非线性微分方程与符号计算

   

[1] Yong Chen, Zhenya Yan, B. A. Malomed. Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations. Physica D: Nonlinear Phenomena[J]. 2022, 430: 133099-, [2] Yong Chen, Jin Song, Xin Li, Zhenya Yan. Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with -δ-hyperbolic-function potentials. CHAOS[J]. 2022, 32: 023122-, [3] Weifang Weng, Guoqiang Zhang, Zhenya Yan. Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrödinger system with higher-order effects. Proc. R. Soc. A: Math. Phys. Eng. Sci.[J]. 2022, 478: 20210670-, [4] Song, Jin, Zhou, Zijian, Weng, Weifang, Yan, Zhenya. PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations. PHYSICA D-NONLINEAR PHENOMENA[J]. 2022, 435: 133266-, http://dx.doi.org/10.1016/j.physd.2022.133266.
[5] Ming Zhong, Shibo Gong, Shou-Fu Tian, Zhenya Yan. Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric GP equations via PINNs deep learning. Physica D: Nonlinear Phenomena[J]. 2022, 439: 133430-, [6] Ming Zhong, Yong Chen, Zhenya Yan, Shou-Fu Tian. Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-δ(x)-Scarf-II optical potentials. Physical Review E[J]. 2022, 105: 014204-, [7] Guoquan Qin, Zhenya Yan, Boling Guo. Orbital stability of peakon solutions for a generalized higher-order Camassa–Holm equation. Z. Angew. Math. Phys.[J]. 2022, 73: 96-,