2019/08/05 by Abhik Mukherjee, Mukherjee, Abhik
Engineering · Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.1908.01512
openalex publication_date 2019/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, the free surface wave dynamics of a saturated superfluid Helium 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.