Solvable Nonlinear Evolution PDEs in Multidimensional Space
可精确求解与可积系统
2008-04-24 v2 高能物理 - 理论
数学物理
math.MP
摘要
A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schr\"odinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also considered.
引用
@article{arxiv.nlin/0612019,
title = {Solvable Nonlinear Evolution PDEs in Multidimensional Space},
author = {Francesco Calogero and Matteo Sommacal},
journal= {arXiv preprint arXiv:nlin/0612019},
year = {2008}
}
备注
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/