Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, I.R. of Iran

Abstract

We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation‎. ‎In this case‎, ‎the symmetry classification problem is answered‎. ‎We obtain symmetry algebra‎ ‎and create the optimal system of Lie subalgebras. We obtain the symmetry reductions and invariant solutions of the considered equation using these vector fields‎. ‎Finally‎, ‎we determine the conservation laws of the vnCBS equation via the Bluman-Anco homotopy formula‎.

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References

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History

  • Receive Date: 30 July 2023
  • Revise Date: 08 November 2023
  • Accept Date: 26 November 2023

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