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Quantum Hasimoto transformation and nonlinear waves on a superfluid vortex filament under the quantum local induction approximation

Abstract:

The Hasimoto transformation between the classical LIA (local induction approximation, a model approximating the motion of a thin vortex filament) and the nonlinear Schrödinger equation (NLS) has proven very useful in the past, since it allows one to construct new solutions to the LIA once a solution to the NLS is known. In the present paper, the quantum form of the LIA (which includes mutual friction effects) is put into correspondence with a type of complex nonlinear dispersive partial diff...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1103/PhysRevE.91.053201

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Institution:
University of Oxford
Department:
Oxford, MPLS
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics Journal website
Volume:
91
Issue:
5
Publication date:
2015-05-29
Acceptance date:
2015-04-08
DOI:
EISSN:
1550-2376
ISSN:
1539-3755
URN:
uuid:aa3eff22-6412-4ac0-a496-2cc08c013466
Source identifiers:
528313
Local pid:
pubs:528313
Keywords:

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