A new(2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study  

作　　者：王友法 楼森岳 钱贤民 

机构地区：[1]Department of Physics,Ningbo University [2]Department of Physics,Shaoxing University [3]Department of Physics,Shanghai Jiao Tong University [4]School of Mathematics,Fudan University

出　　处：《Chinese Physics B》2010年第5期6-11,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 10735030);the Scientific Research Fund of Zhejiang Provincial Education Department (Grant No. 20040969);the National Basic Research Programs of China (Grant Nos. 2007CB814800 and 2005CB422301);the PCSIRT (IRT0734)

摘　　要：According to the conjecture based on some known facts of integrable models, a new （2＋1）-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known （2＋1）-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known （1＋1）-dimensional supersymmetric Boussinesq equation. The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.According to the conjecture based on some known facts of integrable models, a new （2＋1）-dimensional supersymmetric integrable bilinear system is proposed. The model is not only the extension of the known （2＋1）-dimensional negative Kadomtsev-Petviashvili equation but also the extension of the known （1＋1）-dimensional supersymmetric Boussinesq equation. The infinite dimensional Kac-Moody-Virasoro symmetries and the related symmetry reductions of the model are obtained. Furthermore, the traveling wave solutions including soliton solutions are explicitly presented.

关 键 词：integrable models SUPERSYMMETRY symmetries and symmetry reductions exact solutions 

分 类 号：O175[理学—数学]