Stable long-distance propagation and on-off switching of colliding soliton sequences with dissipative interaction

Abstract

We study propagation and on-off switching of two colliding soliton sequences in the presence of second-order dispersion, Kerr nonlinearity, linear loss, cubic gain, and quintic loss. Employing a Lotka-Volterra (LV) model for dynamics of soliton amplitudes along with simulations with two perturbed coupled nonlinear Schrödinger (NLS) equations, we show that stable long-distance propagation can be achieved for a wide range of the gain-loss coefficients, including values that are outside of the perturbative regime. Furthermore, we demonstrate robust on-off and off-on switching of one of the sequences by an abrupt change in the ratio of cubic gain and quintic loss coefficients, and extend the results to pulse sequences with periodically alternating phases. Our study significantly strengthens the recently found relation between collision dynamics of sequences of NLS solitons and population dynamics in LV models, and indicates that the relation might be further extended to solitary waves of the cubic-quintic Ginzburg-Landau equation.

14 pages, 3 figures

References in corpus (2)

• Instability and Evolution of Nonlinearly Interacting Water Waves
• Equilibrium solutions of immiscible two-species Bose-Einstein condensates in perturbed harmonic traps

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• Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift