• Title of article

    Invariants of linear parabolic differential equations

  • Author/Authors

    Ibragimov، نويسنده , , N.H. and Meleshko، نويسنده , , S.V. and Thailert، نويسنده , , E.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2008
  • Pages
    8
  • From page
    277
  • To page
    284
  • Abstract
    The paper is dedicated to construction of invariants for the parabolic equation u t + a ( t , x ) u xx + b ( t , x ) u x + c ( t , x ) u = 0 . We consider the equivalence group given by point transformations and find all invariants up to seventh-order, i.e. the invariants involving the derivatives up to seventh-order of the coefficients a, b and c with respect to the independent variables t, x.
  • Keywords
    Semi-invariants , Invariants , parabolic equations , Equivalence transformation
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Serial Year
    2008
  • Journal title
    Communications in Nonlinear Science and Numerical Simulation
  • Record number

    1532938