TY - JOUR T1 - Symmetries in (1+1)-dimensional Integrable System with Their Algebraic Structures and Conserved Quantities AU - Li Yishen, Cheng Yi JO - Journal of Partial Differential Equations VL - 4 SP - 17 EP - 30 PY - 1990 DA - 1990/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5811.html KW - Integrable system KW - symmetry KW - conserved quantity KW - kac-moo algebra AB - In this paper we offer a general method or constructing symmetries and conserved quantities in the (1 + 1)-dimensional integrable system, prove the algebraic relations between symmetries, and what is more, give applications of this method in many integrable systems with physical significance.