16 citations · 33 across the 10 of their papers we have counts for
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math.AP2020★ 2 cited
Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
Gong Chen, Qingtang Su
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-…
math.AP2020★ 16 cited
Long-time asymptotics and stability for the sine-Gordon equation
Gong Chen, Jiaqi Liu, Bingying Lu
In this paper, we study the long-time dynamics and stability properties of the sine-Gordon equation Firstly, we use the nonlinear steepest descent for R…
math.AP2020
Orbital stability and instability of periodic wave solutions for -models
Gong Chen, José M. Palacios
In this work we study the orbital stability/instability in the energy space of a specific family of periodic wave solutions of the general -model for all .…