26 citations · 31 across the 10 of their papers we have counts for
4 papers · 1 filter
Quasi-periodic solution of quasi-linear fifth-order KdV equation
Yingte Sun, Xiaoping Yuan
In this paper, we prove the existence of quasi-periodic small-amplitude solutions for quasi-linear Hamiltonian perturbation of the fifth-order KdV equation on the torus in presence…
Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency
Yunfeng Shi, Xiaoping Yuan
In this paper, we study the non-self dual extended Harper's model with Liouvillean frequency. By establishing quantitative reducibility results together with the averaging method,…
Boundedness of solutions for Duffing equation with low regularity in time
Xiaoping Yuan
It is shown that all solutions are bounded for Duffing equation provided that for each , $P_j(t)\in C^γ(\mathbb…
The Stability of Full Dimensional KAM tori for Nonlinear Schrödinger equation
Hongzi Cong, Jianjun Liu, Yunfeng Shi +1
In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D…