Correspondence theorems for hierarchies of equations of pseudo-spherical type

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:225

Article

Reyes, EG

关键词: equations of pseudo-spherical type;    pseudo-spherical surfaces;    Backlund transformations;    integrable equations;    hierarchies of pseudo-spherical type;    generalized symmetries;   

DOI  :  10.1016/j.jde.2006.02.007

来源: Elsevier

【 摘 要 】

Hierarchies of evolution equations of pseudo-spherical type are introduced, thereby generalizing the notion of a single equation describing pseudo-spherical surfaces due to S.S. Chem and K. Tenenblat, and providing a connection between differential geometry and the study of hierarchies of equations which are the integrability condition of sl (2, R)-valued linear problems. As an application, it is shown that there exist local correspondences between any two (suitably generic) solutions of arbitrary hierarchies of equations of pseudo-spherical type. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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