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Do symmetry constraints yield exact solutions? (English) Zbl 1137.35325
In the present study the authors would like to show, through a study of symmetry constraints of the Sharma-Tassa-Olver equation, that not all symmetry constraints of differential equations yield exact solutions of the equations. They explain why such phenomenon can happen in the symmetry theory so that mistakes can be avoided in constructing exact solutions by the symmetry constrained method.

MSC:
35C05Solutions of PDE in closed form
35A30Geometric theory for PDE, characteristics, transformations
35Q53KdV-like (Korteweg-de Vries) equations
58J70Invariance and symmetry properties
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References:
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