Xuan Hengnong, Sun Mingming, He Tao, “Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations,” Chinese Journal of Electronics, vol. 19, no. 3, pp. 495-498, 2010,
Citation:
Xuan Hengnong, Sun Mingming, He Tao, “Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations,” Chinese Journal of Electronics, vol. 19, no. 3, pp. 495-498, 2010,
Xuan Hengnong, Sun Mingming, He Tao, “Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations,” Chinese Journal of Electronics, vol. 19, no. 3, pp. 495-498, 2010,
Citation:
Xuan Hengnong, Sun Mingming, He Tao, “Symbolic Computation and Lie Symmetry Groups for Two Nonlinear Differential-Difference Equations,” Chinese Journal of Electronics, vol. 19, no. 3, pp. 495-498, 2010,
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.