Abstract
Our recent works on vortex soliton with axial flow are reviewed. At first, the relationship between the equation of motion of a vortex with axial flow derived by Fukumoto and Miyazaki and the integrable equation derived by Wadati, Konno, and Ichikawa is shown. Later the 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.
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References
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Additional information
Department of Physics, College of Science and Technology, Nihon University, Chiyoda-ku, Tokyo 101, Japan. College of Engineering, Chubu University, Kasugai-shi 487, Japan. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 329–336, May, 1994.
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Konno, K., Ichikawa, Y.H. Vortex soliton with axial flow. Theor Math Phys 99, 622–628 (1994). https://doi.org/10.1007/BF01016149
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DOI: https://doi.org/10.1007/BF01016149