Zloshchastiev, Konstantin G.2025-02-282025-02-282019Zloshchastiev, K.G. 2019. Matrix logarithmic wave equation and multi-channel systems in fluid mechanics. Journal of Theoretical and Applied Mechanics. 57(4): 843-852. doi:10.15632/jtam-pl/1120631429-29552543-6309 (Online)isidoc: KX0TDhttps://hdl.handle.net/10321/5801We formulate the mapping between a large class of nonlinear wave equations and flow equations for 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.6 penLogarithmic BECQuantum liquidStabilityCollective oscillationsPhysics.flu-dynQuant-phPhysics.flu-dyn4017 Mechanical engineeringArticle2025-02-2710.15632/jtam-pl/112063