Determinant and Pfaffian solutions of soliton equations
Determinant and Pfaffian solutions of soliton equations
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DOI：
10.1088/0031-8949/89/03/038005
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发表时间：
2014-02
期刊：
影响因子：
2.9
通讯作者：
J. Nimmo;Junxiao Zhao
中科院分区：
文献类型：
--
作者：
J. Nimmo;Junxiao Zhao
许多孤子系统的解已经被发现或重新表示为各种类型的朗斯基行列式或格拉姆行列式或Pfrons行列式。本文介绍了用于验证这种解决方案的技术，并回顾了过去30年来在这个方向上取得的一些最重要的成果。它强调的普遍性质的公式的衍生物和身份所满足的这些对象。它载有一套详细但并非详尽无遗的参考资料。
The solutions to many soliton systems have been found or reexpressed in terms of Wronskian or Grammian determinants or Pfaffians of various types. This paper gives an introduction to the techniques used to verify such solutions and reviews some of the most important results obtained in this direction over the last 30 years. It places emphasis on the universal nature of the formulae for derivatives and the identities satisfied by these objects. It contains a detailed, but not exhaustive, set of references.