Nonexistence results for the Korteweg-deVries and Kadomtsev-Petviashvili equations

Nalini Joshi, Johannes A. Petersen, Luke M. Schubert

We study characteristic Cauchy problems for the Korteweg-deVries (KdV) equation $u_t=u{u}_x+u_{xxx}$, and the Kadomtsev-Petviashvili (KP) equation $u_{yy}=\bigl(u_{xxx}+uu_x+u_t\bigr…