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Correspondence theorems for hierarchies of equations of pseudo-spherical type | | Enrique G. Reyes
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19 Dec 2002 | | Subject: | Exactly Solvable and Integrable Systems; Analysis of PDEs; Mathematical Physics | nlin.SI math-ph math.AP math.MP | | Abstract: | Hierarchies of evolution equations of pseudo-spherical type are introduced, generalizing the notion of a single equation describing pseudo-spherical surfaces due to S.S. Chern and K. Tenenblat, and providing a connection between differential geometry and the study of hierarchies of equations which are the integrability condition of $sl(2,{f R})$--valued linear problems. As an application, it is shown that there exists a local correspondence between any two (suitably generic) solutions of arbitrary hierarchies of equations of pseudo-spherical type. | | Source: | arXiv, nlin.SI/0212044 | | Services: | Forum | Review | PDF | Favorites | |
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