4 papers
Pseudo grid-based physics-informed convolutional-recurrent network solving the integrable nonlinear lattice equations
Zhe Lin, Yong Chen
Traditional discrete learning methods involve discretizing continuous equations using difference schemes, necessitating considerations of stability and convergence. Integrable nonl…
Symmetric PINN for integrable nonlocal equations: Forward and inverse problems
Wei-Qi Peng, Yong Chen
Since the -symmetric nonlocal equations contain the physical information of the -symmetric, it is very appropriate to embed the physical information of the -symmetric i…
Lax pairs informed neural networks solving integrable systems
Juncai Pu, Yong Chen
Lax pairs are one of the most important features of integrable system. In this work, we propose the Lax pairs informed neural networks (LPNNs) tailored for the integrable systems w…
Long-time asymptotics for the Elastic Beam equation in the solitonless region via methods
Wei-Qi Peng, Yong Chen
In this work, we study the Cauchy problem of the Elastic Beam equation with initial value in weighted Sobolev space via the -steepset descent…