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Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation |
| WANG Hong**, TIAN Ying-Hui, CHEN Han-Lin
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School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010
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WANG Hong, TIAN Ying-Hui, CHEN Han-Lin 2011 Chin. Phys. Lett. 28 020205 |
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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.
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| Keywords:
02.03.Jr
02.20.Sv
02.20.Tw
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Received: 09 August 2010
Published: 30 January 2011
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