3 problems

Let $\epsilon$ be the small dispersion parameter, and let $a$, $b$, and $c_0$ be constants. Let $(x_0,y_0)$ be the position where a singularity of the Whitham system is expected to…

Consider the generalized KP equation … with $\epsilon$-independent initial data $u(x,y,0;\epsilon)=u_0(x,y)$, and assume its solution is at least $C^4$ for $t>0$. Let…

Pearcey asymptotics conjecture. Near the first singularity, the solution has the asymptotic expansion