Abstract
Encouraged by recent experimental breakthroughs, we investigate the types of bright solitons that can exist in the presence of a Kerr nonlinearity and quadratic, quartic, and sextic dispersion by examining the nature of the soliton tails. We verify the soliton shape by full numerical calculations and find analytic solutions for some parameters. We reveal the sensitivity of the interaction dynamics to the particular choice of the dispersion parameters. These results provide a framework for experiments in this regime and for exploring parameter spaces with even higher dimensions.
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