183 citations · 1.6k across the 57 of their papers we have counts for
57 papers
Data driven solutions and parameter discovery of the nonlocal mKdV equation via deep learning method
Jinyan Zhu, Yong Chen
In this paper, we systematically study the integrability and data-driven solutions of the nonlocal mKdV equation. The infinite conservation laws of the nonlocal mKdV equation and t…
Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions
Shuning Lin, Yong Chen
We put forth two physics-informed neural network (PINN) schemes based on Miura transformations and the novelty of this research is the incorporation of Miura transformation constra…
High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation
Huijuan Zhou, Yong Chen
A series of new soliton solutions are presented for the inhomogeneous variable coefficient Hirota equation by using the Riemann Hilbert method and transformation relationship. Firs…
Long-time asymptotics for a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions
Weiqi Peng, Yong Chen
In this work, we consider the long-time asymptotics for the Cauchy problem of a fourth-order dispersive nonlinear Schrödinger equation with nonzero boundary conditions at infinity.…
Long-time Asymptotic Behavior of the coupled dispersive AB system in Low Regularity Spaces
Jin-Yan Zhu, Yong Chen
In this paper, we mainly investigate the long-time asymptotic behavior of the solution for the coupled dispersive AB system with weighted Sobolev initial data, which allows soliton…
Long-time asymptotics for the reverse space-time nonlocal Hirota equation with decaying initial value problem: Without solitons
Wei-Qi Peng, Yong Chen
In this work, we mainly consider the Cauchy problem for the reverse space-time nonlocal Hirota equation with the initial data rapidly decaying in the solitonless sector. Start from…