Symbolic Representation and Classification of N=1 Supersymmetric Evolutionary Equations
Symbolic Representation and Classification of N=1 Supersymmetric Evolutionary Equations
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DOI：
10.1111/sapm.12163
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发表时间：
2016-07
影响因子：
2.7
通讯作者：
K. Tian;Jing Ping Wang
中科院分区：
文献类型：
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作者：
K. Tian;Jing Ping Wang
我们将符号表示推广到N=1超对称微分多项式环上，并证明了该环上的超导数、Fréchet导数和超换位子等运算都可以用符号表示的方法进行.利用符号表示方法，对任意阶的λ>0时具有非零线性项的标量λ-齐次N=1超对称发展方程进行了分类，并给出了这类可积方程的全面描述.
We extend the symbolic representation to the ring of N=1 supersymmetric differential polynomials, and demonstrate that operations on the ring, such as the super derivative, Fréchet derivative, and super commutator, can be carried out in the symbolic way. Using the symbolic representation, we classify scalar λ‐homogeneous N=1 supersymmetric evolutionary equations with nonzero linear term when λ>0 for arbitrary order and give a comprehensive description of all such integrable equations.