Weak Transversality and Partially Invariant Solutions
数学物理
2015-06-26 v1 偏微分方程分析
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
23 pages, preprint CRM-2843