Multi-component Volterra acid Toda type integrable equations

被引:71
作者
Adler, VE [1 ]
Svinolupov, SI [1 ]
Yamilov, RI [1 ]
机构
[1] Russian Acad Sci, Ufa Inst Math, Ufa 450000, Russia
关键词
D O I
10.1016/S0375-9601(99)00087-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Multi-component integrable analogs related to the Jordan triple systems (JTS) are constructed for the Volterra equation. Differential difference substitutions lead to multi-component Toda type lattices. Associated equations generalize the derivative nonlinear Schrodinger equation. Multi-component master symmetries (both partial differential and differential difference ones) and zero curvature representations for lattice equations written in terms of the superstructure Lie algebra of the JTS arise for the first time, (C) 1999 Published by Elsevier Science B.V.
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页码:24 / 36
页数:13
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