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20182026
most citedInstability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case

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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…