Unified approach to Miura, Bäcklund and Darboux Transformations for Nonlinear Partial Differential Equations
作者:
P.G. Estévez,
E. Conde,
P.R. Gordoa,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1998)
卷期:
Volume 5,
issue 1
页码: 82-114
ISSN:1402-9251
年代: 1998
DOI:10.2991/jnmp.1998.5.1.8
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper is an attempt to present and discuss at some length the Singular Manifold Method. This Method is based upon the Painlevé Property systematically used as a tool for obtaining clear cut answers to almost all the questions related with Nonlinear Partial Differential Equations: Lax pairs, Miura, Bäcklund or Darboux Transformations as well asτ-functions, in a unified way. Besides to present the basics of the Method we exemplify this approach by applying it to four equations in (1+1)-dimensions. Two of them are related with the other two through Miura transformations that are also derived by using the Singular Manifold Method.
点击下载:
PDF (275KB)
返 回