Vector Hyperbolic Equations on the Sphere Possessing Integrable Third-Order Symmetries

被引：0
作者：
Anatoly Meshkov
Vladimir Sokolov
机构：
[1] Orel State University,
[2] Landau Institute for Theoretical Physics,undefined
来源：
Letters in Mathematical Physics | 2014年 / 104卷
关键词：
37K10; 37K35; 35Q53; higher symmetry; exact integrability; hyperbolic equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The complete lists of vector hyperbolic equations on the sphere that have integrable third-order vector isotropic and anisotropic symmetries are presented. Several new integrable hyperbolic vector models are found. By their integrability, we mean the existence of vector Bäcklund transformations depending on a parameter. For all new equations, such transformations are constructed.
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页码：341 / 360
页数：19
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