On a family of solutions of the KP equation which also satisfy the Toda lattice hierarchy

Gino Biondini, Yuji Kodama

We describe the interaction pattern in the $x$-$y$ plane for a family of soliton solutions of the Kadomtsev-Petviashvili (KP) equation, $(-4u_t+u_{xxx}+6u{u}_x{)}_x+3u_{yy}=0$. Tho…