Weak Transversality and Partially Invariant Solutions
Mathematical Physics
2015-06-26 v1 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.math-ph/0206003,
title = {Weak Transversality and Partially Invariant Solutions},
author = {A. M. Grundland and P. Tempesta and P. Winternitz},
journal= {arXiv preprint arXiv:math-ph/0206003},
year = {2015}
}
Comments
23 pages, preprint CRM-2843