Integrable reductions in non-isothermal spatial gasdynamics are isolated corresponding to q-Gaussian density distributions. The availability of a Tsallis parameter q in the reductions permits the construction via a Madelung transformation of wave packet solutions of a class of associated q-logarithmic nonlinear Schr ̈odinger equations involving a de Broglie-Bohm quantum poten- tial term.
Rogers, C., Ruggeri, T. (2014). Q-Gaussian integrable hamiltonian reductions in anisentropic gasdynamics. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B., 19(7), 2297-2312 [10.3934/dcdsb.2014.19.2297].
Q-Gaussian integrable hamiltonian reductions in anisentropic gasdynamics
RUGGERI, TOMMASO ANTONIO
2014
Abstract
Integrable reductions in non-isothermal spatial gasdynamics are isolated corresponding to q-Gaussian density distributions. The availability of a Tsallis parameter q in the reductions permits the construction via a Madelung transformation of wave packet solutions of a class of associated q-logarithmic nonlinear Schr ̈odinger equations involving a de Broglie-Bohm quantum poten- tial term.File in questo prodotto:
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