Open AccessSYMMETRY STRUCTURE OF 2+1 DIMENSIONAL BILINEAR SAWADA-KOTERA EQUATION
Author(s) -
Lou Sen-Yue,
Yuanyuan Wang,
Weng Jian-Pin,
Xiaoqing Qian
Publication year - 1994
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.43.1050
Subject(s) - homogeneous space , symmetry (geometry) , bilinear form , bilinear interpolation , series (stratigraphy) , mathematical physics , symmetric bilinear form , type (biology) , space (punctuation) , physics , function (biology) , pure mathematics , mathematics , geometry , computer science , paleontology , ecology , statistics , evolutionary biology , biology , operating system
We established a formal series symmetry theory for a type of generalized 2+1 dimensional bilinear equation in two different ways. Starting from a known time in-dependent symmetry or an arbitrary function of 1-D space, we can get a formal series symmetry with an arbitrary function of time t. For the 2+1 dimensional bilinear Sawada-Kotera equation, there exist six truncated symmetries. These truncated symmetries constitute an infinite dimensional Lie algebra. Some significant subalge-bras such as the Virasoro algebras are also given.