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

الملخص EN

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.