Construction of two-bubble blow-up solutions for the mass-critical gKdV equations

Yang Lan, Xu Yuan

For the mass-critical generalized Korteweg-de Vries equation, $${\partial }_{t}u+{\partial }_x\left({\partial }_x^{2}u+u^5\right)=0,(t,x)\in [0,\infty )\times \mathbb{R}.$$ We…