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Weak Transversality and Partially Invariant Solutions

A. M. Grundland·P. Tempesta·P. Winternitz
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Abstract

New exact solutions are obtained for several nonlinear physical equations, namely the Navier-Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schroedinger equation. The solution methods make use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.

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A. M. Grundland, P. Tempesta, P. Winternitz. 2002-06-04. Weak Transversality and Partially Invariant Solutions. https://doi.org/10.1063/1.1567799

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