Measuring the rogue wave pattern triggered from Gaussian perturbations by deep learning

1 code implementation • 18 Sep 2021 • Liwen Zou, XinHang Luo, Delu Zeng, Liming Ling, Li-Chen Zhao

Weak Gaussian perturbations on a plane wave background could trigger lots of rogue waves, due to modulational instability.

Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations

no code implementations • 31 Dec 2020 • Guoqiang Zhang, Liming Ling, Zhenya Yan

We first report the first- and higher-order vector Peregrine solitons (alias rational rogue waves) for the any multi-component NLS equations based on the loop group theory, an explicit (n + 1)-multiple eigenvalue of a characteristic polynomial of degree (n + 1) related to the condition of Benjamin-Feir instability, and inverse functions.

Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Mathematical Physics Pattern Formation and Solitons Computational Physics

Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models

no code implementations • 31 Dec 2020 • Guoqiang Zhang, Liming Ling, Zhenya Yan, Vladimir V. Konotop

The extreme events are investigated for an $n$-component nonlinear Schr\"odinger ($n$-NLS) system in the focusing Kerr-like nonlinear media, which appears in many physical fields.

Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Mathematical Physics Pattern Formation and Solitons Optics