title: Integrability and conservation laws for the nonlinear evolution equations of partially coherent waves in noninstantaneous Kerr media.
abstract: It is shown that the evolution equations describing partially coherent wave propagation in noninstantaneous Kerr media are integrable and have an infinite number of invariants. A recursion relation for generating these invariants is presented, and it is demonstrated how to express them in the coherent density, self-consistent multimode, mutual coherence, and Wigner formalisms.
authors.affiliation: Department of Earth and Space Sciences, Chalmers University of Technology, Göteborg, Sweden.
authors.forename: T
authors.initials: T
authors.lastname: Hansson
authors.forename: M
authors.initials: M
authors.lastname: Lisak
authors.forename: D
authors.initials: D
authors.lastname: Anderson