Information transfer via cascaded collisions of vector solitons.

We demonstrate experimentally the transport of information from one vector (Manakov-like) spatial soliton to another via collisions with a third, intermediate soliton.

Observation of temporal vector soliton propagation and collision in birefringent fiber.

We report the experimental observation of temporal vector soliton propagation and collision in a linearly birefringent optical fiber. To the best of the authors' knowledge, this is both the first demonstration of temporal vector solitons with two mutually incoherent component fields, and of vector soliton collisions in a Kerr nonlinear medium. Collisions are characterized by an intensity redistribution between the two components, and the experimental results agree with numerical predictions of the coupled nonlinear Schrödinger equation.

Multicomponent gap solitons in superposed grating structures.

We demonstrate, numerically, the existence and stability of multicomponent gap solitons in a Kerr nonlinear medium with a superposed grating based on a derived system of coupled-mode equations. Applications to all-optical logic and signal processing are discussed.

Pairwise competition and the replicator equation.

Spite in Hamilton's sense is defined as the willingness to harm oneself in order to harm another more. The standard replicator dynamic predicts that evolutionarily stable strategies are payoff-maximizing equilibria of the underlying game, and hence rules out the evolution of spiteful behavior. We propose a modified replicator dynamic, where selection is based on local outcomes, rather than on the population 'state', as in standard models.

Collisions of two solitons in an arbitrary number of coupled nonlinear Schrödinger equations.

We show that pairwise soliton collisions in N>2 intensity-coupled nonlinear Schrödinger equations can be reduced to pairwise soliton collisions in two coupled equations. The reduction applies to a wide class of systems, including the N-component Manakov system. This greatly simplifies the analysis of such systems and has important implications for the application of soliton collisions to all-optical computing.