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A new (2+1)-dimensional supersymmetric Boussinesq equation and its Lie symmetry study
  • ISSN号:1674-1056
  • 期刊名称:《中国物理B:英文版》
  • 时间:0
  • 分类:O316[理学—一般力学与力学基础;理学—力学] P731.22[天文地球—海洋科学]
  • 作者机构:[1]Department of Physics, Ningbo University, Ningbo 315211, China, [2]Department of Physics, Shaoxing University, Shaoxing 312000, China, [3]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China, [4]School of Mathematics, Fudan University, Shanghai 200433, China
  • 相关基金: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).Acknowledgments The authors are in debt to the helpful discussions with Profs. X. B. Hu, Q. P. Liu, Drs. X. Y. Tang, M. Jia, X. N. Gao, and K. Tian.
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.更多还原

英文摘要:

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.

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期刊信息
  • 《中国物理B:英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国物理学会和中国科学院物理研究所
  • 主编:欧阳钟灿
  • 地址:北京 中关村 中国科学院物理研究所内
  • 邮编:100080
  • 邮箱:
  • 电话:010-82649026 82649519
  • 国际标准刊号:ISSN:1674-1056
  • 国内统一刊号:ISSN:11-5639/O4
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:406