2011•Chinese Physics LettersOpen access

Non-Lie Symmetry Group and New Exact Solutions for the Two-Dimensional KdV-Burgers Equation

Hong Wang, Yinghui Tian, Hanlin Chen

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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Key concepts: Korteweg–de Vries equation, Symmetry (geometry), Burgers' equation, Lie group, Symmetry group, Mathematical physics, Constraint (computer-aided design), Group (periodic table)