文献类型：期刊文献

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

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

作者：Wang You-Fa[1,2];Lou Sen-Yue[1,3,4];Qian Xian-Min[2]

机构：[1]Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[3]Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China;[4]Fudan Univ, Sch Math, Shanghai 200433, Peoples R China

年份：2010

卷号：19

期号：5

起止页码：0502021

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000277372200002)、CSTPCD、、EI(收录号：20102212974022)、Scopus(收录号：2-s2.0-77952803157)、CSCD2011_2012、WOS、CSCD

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) and the PCSIRT (IRT0734).

语种：英文

中文关键词：Boussinesq方程;Lie对称性;超对称;可积模型;双线性系统;对称积;无穷维;孤子解

外文关键词：integrable models; supersymmetry; symmetries and symmetry reductions; exact solutions

中文摘要：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.

外文摘要：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.