7 citations · 11 across the 5 of their papers we have counts for
5 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…
Long time asymptotic analysis for a nonlocal Hirota equation via the Dbar steepest descent method
Jin-yan Zhu, Yong Chen
In this paper, we mainly focus on the Cauchy problem of an integrable nonlocal Hirota equation with initial value in weighted Sobolev space. Through the spectral analysis of Lax pa…
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…
A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation
Jinyan Zhu, Yong Chen
Due to higher-order Kaup-Newell (KN) system has more complex and diverse solutions than classical second-order flow KN system, the research on it has attracted more and more attent…
High-order soliton matrix for the third-order flow equation of the Gerdjikov-Ivanov hierarchy through the Riemann-Hilbert method
JinYan Zhu, Yong Chen
The Gerdjikov-Ivanov (GI) hierarchy is derived via recursion operator, in this paper, we mainly consider the third-order flow GI equation. In the framework of the Riemann-Hilbert m…