Journal
JOURNAL OF THEORETICAL AND APPLIED MECHANICS
Volume 57, Issue 4, Pages 843-852Publisher
POLISH SOC THEORETICAL & APPLIED MECHANICS
DOI: 10.15632/jtam-pl/112063
Keywords
logarithmic BEC; quantum liquid; stability; collective oscillations
Categories
Funding
- Department of Higher Education and Training of South Africa
- National Research Foundation of South Africa [95965]
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We formulate the mapping between a large class of nonlinear wave equations and flow equations for a barotropic fluid with internal surface tension and capillary effects. Motivated by statistical mechanics and multi-channel physics arguments, we focus on wave equations with logarithmic nonlinearity, and further generalize them to matrix equations. We map the resulting equation to flow equations of multi-channel or multi-component Korteweg-type materials. For some special cases, we analytically derive Gaussian-type matrix solutions and study them in the context of fluid mechanics.
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