10 citations · 25 across the 21 of their papers we have counts for
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math.DS2017★ 2 cited
The Existence of Periodic Solutions for Nonlinear Beam Equations on by a Para-differential Method
Bochao Chen, Yong Li, Yixian Gao
This paper focuses on the construction of periodic solutions of nonlinear beam equations on the -dimensional tori. For a large set of frequencies, we demonstrate that an equival…
math.DS2017
Response solutions for wave equations with variable wave speed and periodic forcing
Bochao Chen, Yixian Gao, Yong Li +1
We consider a model of nonlinear wave equations with periodically varying wave speed and periodic external forcing. By imposing non-resonance conditions on the frequency, we establ…
math.DS2017★ 1 cited
Quasi-periodic solutions to nonlinear beam equation on Compact Lie Groups with a multiplicative potential
Bochao Chen, Yixian Gao, Shan Jiang +1
The goal of this work is to study the existence of quasi-periodic solutions in time to nonlinear beam equations with a multiplicative potential. The nonlinearities are required to…