6533b854fe1ef96bd12af5c8

RESEARCH PRODUCT

Instabilities of optical solitons and Hamiltonian singular solutions in a medium of finite extension

subject

description

International audience; We analyze the role of soliton solutions and Hamiltonian singularities in the dynamics of counterpropagating waves in a medium of finite spatial extension. The soliton solution can become unstable due to the finite extension of the system. We show that the spatiotemporal dynamics then relaxes toward a Hamiltonian singular state of a nature different than that of the soliton state. This phenomenon can be explained through a geometrical analysis of the singularities of the stationary Hamiltonian system.