In the study of nonlinear evolution equations, the concept of symmetry has drawn ever growing attention. It is significant to find the symmetries and their Lie algebra structure for a given equation. In this chapter, the definition of symmetry will be given, and its geometrical meaning will be discussed. Further discussion of concepts and methods related with the finding of symmetry will be given. In order to facilitate the reader’s understanding, the KdV equation will be used as an example through out the text.
KeywordsRecursion Operator MKdV Equation Galilean Transformation Conservation Quantity Commutator Operation
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