| 书目名称 | Local Jet Bundle Formulation of Bäckland Transformations | | 副标题 | With Applications to | | 编辑 | F. A. E. Pirani,D. C. Robinson,W. F. Shadwick | | 视频video | | | 丛书名称 | Mathematical Physics Studies | | 图书封面 |  | | 描述 | The aim of this paper is to show that the theory of jet bundles supplies the appropriate setting for the study of Backlund trans formations. These transformations are used to solve certain partial differential equations, particularly non-linear evolution equations. Of course jets have been employed for some time in the theory of partial differential equations, but so far little use has been made of them in applications. In the meanwhile, substantial progress has been made in the study of non-linear evolution equations. This work has been encouraged by the dis covery of remarkable properties of some such equations, for example the existence of soliton solutions and of infinite se quences of conservation laws. Among the techniques devised to deal with these equations are the inverse scattering method and the Backlund transformation. In our opinion the jet bundle formulation offers a unifying geometrical framework for under standing the properties of non-linear evolution equations and the techniques used to deal with them, although we do not consider all of these properties and techniques here. The relevance of the theory of jet bundles lS that it legitimates the practice of regar | | 出版日期 | Book 1979 | | 关键词 | evolution; solution | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-009-9511-6 | | isbn_softcover | 978-90-277-1036-9 | | isbn_ebook | 978-94-009-9511-6Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | D. Reidel Publishing Company, Dordrecht, Holland 1979 |
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发表于 2025-3-21 17:51:21
