Nonclassical Potential Symmetries and Invariant Solutions of Heat Equation

QIN Mao-chang; MEI Feng-xiang; XU Xue-jun

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QIN Mao-chang, MEI Feng-xiang, XU Xue-jun. Nonclassical Potential Symmetries and Invariant Solutions of Heat Equation[J]. Applied Mathematics and Mechanics, 2006, 27(2): 217-222.

Citation:

QIN Mao-chang, MEI Feng-xiang, XU Xue-jun. Nonclassical Potential Symmetries and Invariant Solutions of Heat Equation[J]. Applied Mathematics and Mechanics, 2006, 27(2): 217-222.

Citation:

QIN Mao-chang, MEI Feng-xiang, XU Xue-jun. Nonclassical Potential Symmetries and Invariant Solutions of Heat Equation[J]. Applied Mathematics and Mechanics, 2006, 27(2): 217-222.

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Nonclassical Potential Symmetries and Invariant Solutions of Heat Equation

1.
School of Science, Chongqing Technology and Business University, Chongqing 400067, P. R. China;

Received Date: 2004-03-19
Rev Recd Date: 2005-10-30
Publish Date: 2006-02-15

Abstract

Abstract

Some nonclassical potential symmetry generators and group-invariant of heat equation and wave equation were determined. It is shown that new explicit solutions of conserved equations can be constructed by using the nonclassical potential symmetry generators which are derived from their adjoit system. These explicit solutions cannot be obtained by using the Lie or Lie-B_3/4 cklund symmetry group generators of differential equations.
- nonclassical potential symmetry generators,
- heat equation,
- wave equation,
- explicit solution

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References(8)

References

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