A New Type of Stretched Solutions Excited by Initially Stretched Vortex Filaments for the Local Induction Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 354-363

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We solve the initial value problem of the stretched vortex filament with the local induction equation and obtain a new type of stretched solution analytically, a solution that was suggested numerically.
Keywords: local induction equation, stretched filament.
Mots-clés : vortex filament
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     author = {K. Konno and K. Kakuhata},
     title = {A {New} {Type} of {Stretched} {Solutions} {Excited} by {Initially} {Stretched} {Vortex} {Filaments} for the {Local} {Induction} {Equation}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {354--363},
     publisher = {mathdoc},
     volume = {144},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a13/}
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K. Konno; K. Kakuhata. A New Type of Stretched Solutions Excited by Initially Stretched Vortex Filaments for the Local Induction Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 2, pp. 354-363. http://geodesic.mathdoc.fr/item/TMF_2005_144_2_a13/