| 書目名稱 | What Is Integrability? | | 編輯 | Vladimir E. Zakharov | | 視頻video | http://file.papertrans.cn/1028/1027745/1027745.mp4 | | 叢書名稱 | Springer Series in Nonlinear Dynamics | | 圖書封面 |  | | 描述 | The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg- ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other‘s work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem - the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas- sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting par | | 出版日期 | Book 1991 | | 關(guān)鍵詞 | Hamiltonsysteme; Integrabilit?t; KdV Gleichung; Painleve Test; applied mathematics; degrees of freedom; dy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-88703-1 | | isbn_softcover | 978-3-642-88705-5 | | isbn_ebook | 978-3-642-88703-1Series ISSN 0940-2535 | | issn_series | 0940-2535 | | copyright | Springer-Verlag Berlin Heidelberg 1991 |
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