Special Solutions of Discrete Integrable Systems
Special Solutions of Discrete Integrable Systems
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DOI：
10.1007/978-3-540-40357-9_3
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Yoshihiro Ohta
中科院分区：
文献类型：
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作者：
Yoshihiro Ohta
离散孤子方程的族被构造成双线性形式的结果满足的代数恒等式的决定因素和Pfrons。从行列式和Pfweans的元素所满足的离散线性色散关系出发，导出了行列式和Pfweans的差分公式。为了完整性，我们首先总结了行列式和Pfrons的主要代数性质。
Hierarchies of discrete soliton equations are constructed in bilinear form as a consequence of the algebraic identities satisfied by determinants and Pfaffians. Difference formulas for determinants and Pfaffians are derived from the discrete linear dispersion relations satisfied by their elements. For completeness, we first summarize the main algebraic properties of determinants and Pfaffians.