Factorization of operators.II

We extend the methods of a previous paper [J. Math. Phys. 21, 2508 (1980)], factorizing the general, scalar, third‐order differential operator, and obtain a Miura transformation for the Boussinesq equation. We give a general factorized eigenvalue problem. We also give a Hamiltonian structure associated with the factorized eigenvalue problem. We derive several isospectral flows, some of Klein–Gordon type.