Weak Transversality and Partially Invariant Solutions

Details Weak Transversality and Partially Invariant Solutions Weak Transversality and Partially Invariant Solutions

2002-06-04

arxiv.org/abs/math-ph/0206003v1

J.Math.Phys. 44(6),2704-2722, (2003)

Physics

Mathematical Physics

23 pages, preprint CRM-2843

Scientific paper

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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