On generating new (2+1)-dimensional super integrable systems
On generating new (2+1)-dimensional super integrable systems
投稿时间:2018-01-29  修订日期:2018-12-29
DOI:
中文关键词:  
英文关键词:Lie super algebra  (2+1)-dimensional super equation  Hamiltonian structure
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作者单位E-mail
魏含玉 上海大学 weihanyu8207@163.com 
夏铁成 上海大学  
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中文摘要:
      
英文摘要:
      In this paper, we make use of the binormial-residue-representation (BRR) to generate (2+1)-dimensional super integrable systems. By using these systems, a new (2+1)-dimensional super soliton hierarchy is deduced, which can be reduced to a (2+1)-dimensional super nonlinear Schrodinger equation. Especially, two main results are obtained which have important physics applications. One of them is a set of (2+1)-dimensional super integrable couplings. The other one is a (2+1)-dimensional diffusion equation. Finally, the Hamiltonian structure for the new (2+1)-dimensional super hierarchy is produced with the aid of the super trace identity.
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