Free surface lump wave dynamics of a saturated superfluid 4He film with nontrivial boundary condition at the substrate surface

In this article, the free surface wave dynamics of a saturated (∼10−6 cm) superfluid 4He film is considered under the condition that there exists a very weak downward localized superfluid flow into the substrate. For saturated film, the effect of surface tension plays a decisive role in the surface...

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Bibliographic Details
Published in:Physica scripta 2020-08, Vol.95 (9)
Main Author: Mukherjee, Abhik
Format: Article
Language:English
Subjects:
kadomtsev petviashvili equation
lump wave dynamics
superfluid helium film
superfluid hydrodynamics
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Summary:In this article, the free surface wave dynamics of a saturated (∼10−6 cm) superfluid 4He film is considered under the condition that there exists a very weak downward localized superfluid flow into the substrate. For saturated film, the effect of surface tension plays a decisive role in the surface wave evolution dynamics of the system. The free surface evolution is shown to be governed by forced Kadomtsev Petviashvili-I equation, with the forcing function depending on downward superfluid velocity at the substrate surface. Exact as well as perturbative free surface lump wave solutions of the (2 + 1) dimensional nonlinear evolution equation are obtained and the effect of the leakage velocity function on the lump wave solutions are shown.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/abac76