2 problems

Let $u_0\in L_2(\mathbb R)$ be smooth initial data with a single maximum, let $\epsilon\ll1$ be the dispersion parameter, and let $t_c$ be the break-up time of the corresponding ge…

Let $u(x,t)$) be a solution of a generalized Korteweg–de Vries equation with dispersion parameter $\epsilon$, and let $t_c$ denote the break-up point of the corresponding generaliz…