Symmetry group methods for fundamental solutions

Publication Type:
Journal Article
Citation:
Journal of Differential Equations, 2004, 207 (2), pp. 285 - 302
Issue Date:
2004-12-15
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This paper uses Lie symmetry group methods to study PDEs of the form ut= xuxx+ f (x)ux. We show that when the drift function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find a fundamental solution. © 2004 Elsevier Inc. All rights reserved.
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