Journal
PHYSICA SCRIPTA
Volume 95, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1402-4896/abac76
Keywords
superfluid helium film; kadomtsev petviashvili equation; lump wave dynamics; superfluid hydrodynamics
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Funding
- Ministry of Science and Higher Education of the Russian Federation in the framework of Increase Competitiveness Program of NUST MISiS [K4 - 2018 - 061]
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In this article, the free surface wave dynamics of a saturated (similar to 10(-6)cm) superfluid(4)Hefilm 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.
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