Vortex soliton with axial flow

Our recent works on vortex soliton with axial flow are reviewed. At first relationship between the equation of motion of vortex with axial flow derived by Fukumoto and Miyazaki and the integrable equation derived by Wadati, Konno and Ichikawa is shown. Later equation has been solved by the inverse scattering method. Using soliton solutions two experiments of vortex filament done by Hopfinger et al. and Maxworthy et al. are analyzed in order to estimate the effect of axial flow. It is found that the effect is large for both experiments. Transport of momentum and angular momentum and sound generation by vortex soliton are investigated. It is found that collision of two solitons gives rise to very enhanced interference of the sound pressure.