Gap solitons with quadratic and quartic dispersion competition in one-dimensional nonlinear periodic systems
Y. Cao, T. F. Xu
Abstract
We studied gap solitons and nonlinear Bloch waves in Kerr nonlinear systems under competition between quadratic and quartic dispersions. The results show that nonlinear Bloch waves can still be regarded as infinite fundamental gap solitons chains. We also revealed the properties of the gap solitons in the relevant band gaps by numerical analysis. Notably, for the two classical dipole modes in the first gap, the variation of the dispersion coefficient leads to the change of the soliton power relation due to the interaction between the two solitons composing them. We obtained the stable interval variation rule of gap waves without calculation by analyzing the interaction between fundamental gap solitons. This is consistent with our linear stability analysis and real-time numerical monitoring results. This finding provides an idea for further investigation of the physical properties of higher-order solitons under higher-order dispersion.