Well-posed Cauchy problem and the Hamiltonian form of (2+1) nonlinear equations integrable by inverse scattering transform

Leonid Nizhnik

The Hamiltonian form of the (2+1) nonlinear integrable Schrödinger equation and the system of two (2+1) nonlinear analogue of the mKdV equation is proved. A well--posed Cauchy prob…