Construction of Mappings Relating Differential Equations
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In previous chapters we have considered the construction and use of infinitesimal transformations which leave a given differential equation invariant. These transformations map any solution of the given DE into another solution of the same DE. We have used infinitesimal transformations to reduce the order of ODE’s and to construct invariant solutions and conservation laws for DE’s.
KeywordsInfinitesimal Generator Point Transformation Contact Transformation Infinitesimal Transformation Linear Heat Equation
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