Linear systems, determinants and solutions of the Kadomtsev-Petviashvili equation

Gordon Blower, Simon J. Malham

Let $(-A,B,C)$ be a linear system in continuous time $t>0$ with input and output space $\mathbb{C}$ and state space $H$. The scattering (or impulse response) functions $ϕ_{(x)}(t…