title: Analytical solutions for three and four diffraction orders interaction in Kerr media.
abstract: The analytical solution for the interaction of three diffraction orders in the Kerr medium is obtained by reducing the problem to the completely integrable Hamiltonian task. Intensities of all waves are periodic with propagation length and linearly related, the amplitudes are quasi-periodic and expressed in elliptic functions. Symmetrical four-order interaction also admits an analytical solution.
authors.forename: N
authors.initials: N
authors.lastname: Korneev