Journal article
Quantum Hasimoto transformation and nonlinear waves on a superfluid vortex filament under the quantum local induction approximation
- Abstract:
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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
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(Version of record, pdf, 716.1KB)
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- Publisher copy:
- 10.1103/PhysRevE.91.053201
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Authors
Bibliographic Details
- Publisher:
- American Physical Society Publisher's website
- Journal:
- Physical Review E - Statistical, Nonlinear, and Soft Matter Physics Journal website
- Publication date:
- 2015-05-29
- Acceptance date:
- 2015-04-08
- DOI:
- EISSN:
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1550-2376
- ISSN:
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1539-3755
- Source identifiers:
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528313
Item Description
- Keywords:
- Pubs id:
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pubs:528313
- UUID:
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uuid:aa3eff22-6412-4ac0-a496-2cc08c013466
- Local pid:
- pubs:528313
- Deposit date:
- 2016-04-16
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2015
- Notes:
- This is the publisher's version of the article. The final version is available online from American Physical Society at: https://doi.org/10.1103/PhysRevE.91.053201
- Licence:
- CC Attribution (CC BY)
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