In Chapter 1, briefly introduce the concept of noncommutative space and nori-commutative field theory, review the history and important results of studying the noncommutative soliton solution.
第一章，简要介绍非对易的概念及非对易场论，回顾前人在非对易孤子解方面的研究。
The invariant space has to be as well a deformation of a classical space, a deformation that makes it noncommutative.
这些不变的空间同样也是经典空间的变形，它们通过这种变形成为非对易空间。
The invariant space has to be as well a deformation of a classical space, a deformation that makes it noncommutative.
这些不变的空间同样也是经典空间的变形，它们通过这种变形成为非对易空间。
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