A model of a lossy second-harmonic-generating cavity driven by pump wave at the third harmonic, was presented. The model gave rise to a new type of driving terms, characterized by the cross-parametric gain. Stability regions for the solitons were identified, in the system's parameter space, through computation of the corresponding eigenvalues for small perturbations. Interactions between initially separated solitons were investigated using direct simulations. The results show that stable solitons always merge into a single one. In the system with weak loss, the final solitons appear in an excited form and then slowly relax to the static configuration. If the loss is stronger, the final soliton emerges in the stationary form.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||6 2|
|State||Published - Dec 2004|