The localized induction hierarchy and the Lund - Regge equation
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Publication:4394429
DOI10.1088/0305-4470/29/24/025zbMath0901.35073OpenAlexW1985852805MaRDI QIDQ4394429
Mitsuharu Miyajima, Yasuhide Fukumoto
Publication date: 11 June 1998
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/29/24/025
exact solutionslocalized induction equationLund-Regge equationmotion of vortex tubes in an inviscid incompressible fluid
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Solutions to PDEs in closed form (35C05)
Related Items (4)
General rotating quantum vortex filaments in the low-temperature Svistunov model of the local induction approximation ⋮ Nonlocal integrable PDEs from hierarchies of symmetry laws: the example of Pohlmeyer-Lund-Regge equation and its reflectionless potential solutions ⋮ Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter ⋮ On Vortex Solutions and Links between the Weierstrass System and the Complex Sine-Gordon Equations
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