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Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation

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  • Ben Gao
  • Yanxia Wang

Abstract

In this paper, the Lie group method is performed on a special dark fluid, the Chaplygin gas, which describes both dark matter and dark energy in the present universe. Based on an optimal system of one-dimensional subalgebras, similarity reductions and group invariant solutions are given. Finally, by means of Ibragimov’s method, conservation laws are obtained.

Suggested Citation

  • Ben Gao & Yanxia Wang, 2019. "Invariant Solutions and Nonlinear Self-Adjointness of the Two-Component Chaplygin Gas Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-9, July.
    • Handle: RePEc:hin:jnddns:9609357
    DOI: 10.1155/2019/9609357
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