q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics
The present paper is devoted to a special kind of \(q\)-logarithmic nonlinear Schrödinger (NLS) type equation which incorporates a de Broglie-Bohm quantum potential term, derived in the framework of spatial anisentropic gasdynamics. In the limit \(q\rightarrow 1\) and in the absence of the de Broglie-Bohm term the well-known logarithmic NLS equation is retrieved. The physical motivation for the present study stems from an investigation into spinning gas cloud evolution.
scientific article; zbMATH DE number 6376806
scientific article