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math.DS2023
Quasi-Periodic solutions of Two Dimensional Completely Resonant Reversible Schrödinger d Systems
Yingnan Sun, Shuaishuai Xue
We introduce an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible Schrödinger systems. Using this KAM theorem together with partial Birkhoff normal…
nlin.SI2023
Revisit to solutions for Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations
Ke Yan, Ying-ying Sun, Song-lin Zhao
Solutions for all Adler-Bobenko-Suris equations excluding Q4 and several lattice Boussinesq-type equations are reconsidered by employing the Cauchy matrix approach. Through introdu…