Soliton-like behavior in fast two-pulse collisions in weakly perturbed linear physical systems

Abstract

We demonstrate that pulses of linear physical systems, weakly perturbed by nonlinear dissipation, exhibit soliton-like behavior in fast collisions. The behavior is demonstrated for linear waveguides with weak cubic loss and for systems described by linear diffusion-advection models with weak quadratic loss. We show that in both systems, the expressions for the collision-induced amplitude shifts due to the nonlinear loss have the same form as the expression for the amplitude shift in a fast collision between two optical solitons in the presence of weak cubic loss. Our analytic predictions are confirmed by numerical simulations with the corresponding coupled linear evolution models with weak nonlinear loss. These results open the way for studying dynamics of fast collisions between pulses of weakly perturbed linear physical systems in an arbitrary spatial dimension.

arXiv comment21 pages, 4 figures

References in corpus (1)

• Monte Carlo simulations of pulse propagation in massive multichannel optical fiber communication systems

Cited by in corpus (8)

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• Collision-induced amplitude dynamics of fast 2D solitons in saturable nonlinear media with weak nonlinear loss
• Universality of the amplitude shift in fast two-pulse collisions in weakly perturbed linear physical systems
• Fast two-beam collisions in a linear optical medium with weak cubic loss in spatial dimension higher than 1
• Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss
• Highly controllable stabilization and switching of multiple colliding soliton sequences with generic Ginzburg-Landau gain-loss
• Strong effects of fast collisions between pulsed optical beams in a linear medium with weak cubic loss
• Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift