Full Symmetry Groups and Similar Reductions of a (2+1)-Dimensional Resonant Davey-Stewartson System

把古典谎言对称方法用于( 2+1 )维的反响的 DaveyStewartson 系统由唐介绍了[唐克西等，混乱， Solitons 和分数维图形 42 ( 2007 ) 2707 ]，有 Kac-Moody-Virasoro 类型谎言代数学的更一般的无限的维的谎言对称被获得，它包含 t 的四任意的功能。由一个简单直接方法，或者，包括的完整的对称组躺着对称组和非谎言对称组直地被获得。这样，相关谎言代数学能被一个更简单的限制过程容易发现。经由解决典型方程，最后，一般类似的减小的三种类型被导出。

Applying the classical Lie symmetry method to the （29-1）-dimensional resonant Davey-Stewartson system introduced by Tang IX. Y. Tang et al., Chaos, Solitons and Practals 42 （2007） 2707], a more general infinite dimensional Lie symmetry with Kac-Moody-Virasoro type Lie algebra is obtained, which involves four arbitrary functions of t. Alternatively, by a simple direct method, the full symmetry groups including Lie symmetry group and non-Lie symmetry group are gained straightly. In this way, the related Lie algebra can be easily found by a more simple limiting procedure. Lastly, via solving the characteristic equations, three types of the general similar reductions are derived.