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Symmetry analysis of the time fractional potential-KdV equation

  • B. El Ansari,
  • E. H. El Kinani,
  • A. Ouhadan

摘要

For a fractional potential-KdV equation, Lie point symmetries are studied and their infinitesimal generators are investigated to construct conservation laws. Furthermore, the invariants of the obtained generators are used to reduce the studied equation to a nonlinear fractional ordinary differential equation (NFODE) and with Erdélyi–Kober fractional operator the reduced equation is solved explicitly by using the power series approach.