一个(2+1)维的可积sinb-Gordon方程  

A(2+1)-DIMENSIONAL INTEGRABLESINH-GORDON EQUATION

作　　者：陈黎丽[1] 

机构地区：[1]宁波大学师范学院物理系

出　　处：《宁波大学学报（理工版）》1997年第4期22-25,共4页Journal of Ningbo University：Natural Science and Engineering Edition

摘　　要：利用ｍＫｄＶ方程的违推算子的遗传性，构造了一个（２＋１）维的ｓｉｎｈ－Ｇｏｒｄｏｎ型的可积模型。该模型是（１＋１）维ｓｉｎｈ－Ｇｏｒｄｏｎ方程的推广．同时给出了该模型丰富的对称性及其相应的代数结构。Using the herditary property of the recunion operator of the mKdV equation, a new (2+ 1)-dimensional sinh-Gordon integrable model is constructed. The model is an extension of the usual(1+ 1)-dimensional sinh-Gordon equation. The abundant symmetries and its corresponding .algebra structure of the model are studied.

关 键 词：遗传对称算子 SINH-GORDON方程 广义Vinsono代数 

分 类 号：O231[理学—运筹学与控制论]