4 papers
Elementary Methods for Infinite Resistive Networks with Complex Topologies
Tung X. Tran, Linh K. Nguyen, Quan M. Nguyen +3
Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in whic…
Infinite AC Ladder with a "Twist"
Quan M. Nguyen, Linh K. Nguyen, Tung X. Tran +3
The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple mo…
Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss
Quan M. Nguyen
We study the effects of the generic weak nonlinear loss on fast two-pulse interactions in linear waveguides. The colliding pulses are described by a system of coupled Schrödinger e…
Frequency shifting for solitons based on transformations on the Fourier domain and applications
Quan M. Nguyen, Toan T. Huynh
We develop the theoretical procedures for shifting the frequency of a single soliton and of a sequence of solitons of the nonlinear Schrödinger equation. The procedures are based o…