Cui Ning

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math.AP2026

Orbital instability of solitary waves for the generalized BBM equation at the negative critical endpoint

Cui Ning

We study the orbital stability of solitary waves to the generalized Benjamin--Bona--Mahony equation $$ u_t+u_x+κ\frac{p+1}{2}(u^p)_x-u_{txx}=0, \qquad (t,x)\in\mathbb R^+\times\mat…

math.AP2025

On blowup solution in NLS equation under dispersion or nonlinearity management

Jing Li, Cui Ning, Xiaofei Zhao

In this paper, we study the dispersion-managed nonlinear SchrÃ¶dinger (DM-NLS) equation $i \partial_{t} u (t, x) + I^^{3} (t) I^ u (t, x) = ∣ u (t, x) ∣^{\frac{4}{d}} u (t, x), x \in R^{d},$ and the nonl…