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nlin.SI2026
A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction
Shangshuai Li, Ken-ichi Maruno, Da-jun Zhang
We show a unified approach to the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the unreduced derivative nonlinear Schrödinger (DNLS) hierarchies (including the Kaup-Newell, Chen…
nlin.SI2024★ 1 cited
From the self-dual Yang-Mills equation to the Fokas-Lenells equation
Shangshuai Li, Shuzhi Liu, Da-jun Zhang
A reduction from the self-dual Yang-Mills (SDYM) equation to the unreduced Fokas-Lenells (FL) system is described in this paper. It has been known that the SDYM equation can be for…