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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Nonlinear partial differential equations in quantum fluid dynamics

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pp. 2181–2188Vol. 28Issue 6September 2025DOI: 10.47974/JIM-2359XML
Received:
10 Dec 2024
Published Online:
30 Sep 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2359
Pages:
2181–2188

Abstract

Nonlinear partial differential equations (PDEs) are very important for modeling complicated behaviours in quantum fluid dynamics, which is where quantum physics and traditional hydrodynamics meet. It is these equations, especially nonlinear Schrödinger models, which explain wave-particle duality, dispersion, and coherence in quantum plasmas, superfluids, and Bose–Einstein condensates. As opposed to linear formulas, nonlinear PDEs show how answer interactions, modulation instabilities, and emergent turbulence take place at the quantum degree. This study looks into the mathematical bases, models, and ways to solve nonlinear PDEs in quantum fluid dynamics, with a focus on how they can be used to predict the behaviour of quantum fluids at both the microscopic and macroscopic levels.

Keywords

Subject Classifications

14D2135M86

References

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