Reduction groups and related integrable difference systems of nonlinear Schrödinger type
Reduction groups and related integrable difference systems of nonlinear Schrödinger type
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DOI:
10.1063/1.4928048
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发表时间:
2015-03
影响因子:
1.3
通讯作者:
S. Konstantinou-Rizos;S. Konstantinou-Rizos;A. Mikhailov;P. Xenitidis
中科院分区:
文献类型:
--
作者:
S. Konstantinou-Rizos;S. Konstantinou-Rizos;A. Mikhailov;P. Xenitidis
We extend the reduction group method to the Lax-Darboux schemes associated with nonlinear Schrodinger type equations. We consider all possible finite reduction groups and construct corresponding Lax operators, Darboux transformations, hierarchies of integrable differential-difference equations, integrable partial difference systems, and associated scalar partial difference equations.