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q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics - MaRDI portal

q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics (Q478712)

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scientific article; zbMATH DE number 6376806
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q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics
scientific article; zbMATH DE number 6376806

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    q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics (English)
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    4 December 2014
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    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.
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    \(q\)-Gaussian integrability
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    Tsallis statistical mechanics
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    gasdynamics
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