[00079] Multi-dimensional Optimal Systems for Chaplygin Gas Cargo-LeRoux model
Session Time & Room : 2E (Aug.22, 17:40-19:20) @F310
Type : Contributed Talk
Abstract : The famous Cargo-LeRoux model for the isentropic Chaplygin gas is studied using classical Lie symmetry
method. Optimal systems up to six-dimensions are constructed using the adjoint transformation and the
invariants of the admitted Lie algebras. We obtain exact solutions to the Cargo-LeRoux model by using the
one-dimensional optimal system and discussed the physical behavior of the solutions graphically. Finally, We
discussed the evolutionary behavior of a discontinuity wave.
