摘要By using the modified Clarkson–Kruskal (CK) direct method, we obtain the non-Lie symmetry group of the two-dimensional KdV-Burgers equation. Under some constraint conditions, Lie point symmetry is also obtained. Through the symmetry group, some new exact solutions of the two-dimensional KdV-Burgers equation are found.
Abstract：By using the modified Clarkson–Kruskal (CK) direct method, we obtain the non-Lie symmetry group of the two-dimensional KdV-Burgers equation. Under some constraint conditions, Lie point symmetry is also obtained. Through the symmetry group, some new exact solutions of the two-dimensional KdV-Burgers equation are found.
WANG Hong**;TIAN Ying-Hui;CHEN Han-Lin
. Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation[J]. 中国物理快报, 2011, 28(2): 20205-020205.
WANG Hong**, TIAN Ying-Hui, CHEN Han-Lin
. Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation. Chin. Phys. Lett., 2011, 28(2): 20205-020205.
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