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[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.
  • Classification : 35L40, 70G65, 76N15
  • Format : Talk at Waseda University
  • Author(s) :
    • Manoj Kumar Pandey (BITS Pilani K K Birla Goa Campus)
    • Pabitra Kumar Pradhan (BITS Pilani K K Birla Goa Campus)