# American Institute of Mathematical Sciences

September  2014, 19(7): 2297-2312. doi: 10.3934/dcdsb.2014.19.2297

## q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics

 1 Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems, School of Mathematics, The University of New South Wales, Sydney, NSW2052, Australia 2 Department of Mathematics & Research Centre of Applied Mathematics (CIRAM), University of Bologna, Italy

Received  March 2013 Revised  March 2014 Published  August 2014

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 Schrödinger equations involving a de Broglie-Bohm quantum potential term.
Citation: Colin Rogers, Tommaso Ruggeri. q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics. Discrete & Continuous Dynamical Systems - B, 2014, 19 (7) : 2297-2312. doi: 10.3934/dcdsb.2014.19.2297
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