文章基本信息

标题：Nonlocal symmetries of Frobenius sinh-Gordon systems
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作者：Huijuan Zhou ; Chuanzhong Li ; Xinyue Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：271
DOI：10.1186/s13662-018-1737-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of g l ( 2 , C ) $gl(2,\mathbb {C})$ . Then we construct some nonlocal symmetries of the Frobenius sinh-Gordon system using its Bäcklund transformation and infinitesimal transformations. Based on the nonlocal symmetries, we show some conserved densities of the Frobenius sinh-Gordon system. Using these symmetries, we also construct some new coupled integro-differential systems.