q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics

  title={q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics},
  author={Colin Rogers and Tommaso Ruggeri},
  journal={Discrete and Continuous Dynamical Systems-series B},
  • C. Rogers, T. Ruggeri
  • Published 1 August 2014
  • Mathematics
  • Discrete and Continuous Dynamical Systems-series B
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 Schrodinger equations involving a de Broglie-Bohm quantum potential term. 
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