Xuan Hengnong, Sun Mingming, He Tao. Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations[J]. Chinese Journal of Electronics, 2010, 19(3): 495-498.
Citation: Xuan Hengnong, Sun Mingming, He Tao. Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations[J]. Chinese Journal of Electronics, 2010, 19(3): 495-498.

Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations

  • Received Date: 1900-01-01
  • Rev Recd Date: 1900-01-01
  • Publish Date: 2010-07-05
  • Based on the symbolic computation system-Maple, the symmetry group direct method is extended to investigate Lie symmetry groups of two differential-difference equations. Through analysis and tedious calculation, the full symmetry groups of the well-known D Delta-KP equation and Toda lattice equation are obtained. From them, both the Lie point symmetry groups and a group of discrete transformations can be obtained. Furthermore, based on the full symmetry groups and some simple solutions of these two equations, some general solutions are constructed.
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      沈阳化工大学材料科学与工程学院 沈阳 110142

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