The Painlevé-type asymptotics of defocusing complex mKdV equation with finite density initial data

Lili Wen, Engui Fan

We consider the Cauchy problem for the defocusing complex mKdV equation with finite density initial data \begin{align*} &q_t+\frac{1}{2}q_{xxx}-3|q|^2q_{x}=0,\\ &q(x,0)=q_{0}(x) \s…