Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations
Manno, G., Oliveri, F., Vitolo, R. (2007). Lie remarkable PDEs. In ASYMPTOTIC METHODS IN NONLINEAR WAVE PHENOMENA: IN HONOR OF THE 65TH BIRTHDAY OF ANTONIO GRECO (pp.119-131) [10.1142/9789812708908_0011].
Lie remarkable PDEs
Manno, G;
2007
Abstract
Within the context of the inverse Lie problem the question whether there exist PDEs that are characterized by their Lie point symmetries may be addressed. In a recent paper the authors called these equations Lie remarkable. In this paper we exhibit various examples of Lie remarkable equations, including some multidimensional Monge-Ampere type equations
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