388 citations · 2.8k across the 44 of their papers we have counts for
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nlin.SI2022★ 23 cited
New Integrable Multi-Lévy-Index and Mixed Fractional Nonlinear Soliton Hierarchies
Zhenya Yan
In this letter, we present a simple and new idea to generate two types of novel integrable multi-Lévy-index and mix-Lévy-index (mixed) fractional nonlinear soliton hierarchies, con…
nlin.SI2022★ 1 cited
Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator
Ming Zhong, Zhenya Yan
In this paper, we firstly extend the Fourier neural operator (FNO) to discovery the soliton mapping between two function spaces, where one is the fractional-order index space $\{ε|…
nlin.SI2022★ 29 cited
Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrödinger equations
Weifang Weng, Minghe Zhang, Zhenya Yan
In this paper, we explore the anomalous dispersive relations, inverse scattering transform and fractional N-soliton solutions of the integrable fractional higher-order nonlinear Sc…