2 problems

Let $H$ be a Hamiltonian of type III, with an integrable Hamiltonian density $h(v,w)$ of the type III form described in the source. Type III trivial-deformation conjecture. Every d…

Let $H_0=\int h(v,w)\,dxdy$ be a Hamiltonian of type I, with density $h(v,w)$ satisfying the integrability conditions for type I. A nontrivial integrable deformation of $H_0$ to or…