- 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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
-
-
(pdf, 716.1kb)
-
- Publisher copy:
- 10.1103/PhysRevE.91.053201
-
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- 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:
- 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
Journal article
Quantum Hasimoto transformation and nonlinear waves on a superfluid vortex filament under the quantum local induction approximation
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