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Guil Guerrero, Francisco and Mañas Baena, Manuel (1997) The Darboux system: finite-rank constraints and Darboux transformations. Journal of mathematical physics, 38 (11). pp. 5968-5975. ISSN 0022-2488
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Official URL: http://dx.doi.org/10.1063/1.532174
Abstract
The exponential solutions of the Darboux equations for conjugate nets is considered. It is shown that rank-one constraints over the right derivatives of invertible operators on an arbitrary linear space give solutions of the Darboux system, which can be understood as a vectorial Darboux transformation of the exponential background. The method is extended further to obtain vectorial Darboux transformations of the Darboux system.
| Item Type: | Article |
|---|---|
| Additional Information: | ©2001. All Rights Reserved. |
| Uncontrolled Keywords: | Integrable systems; Evolution; Equations |
| Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
| ID Code: | 33069 |
| Deposited On: | 10 Sep 2015 18:17 |
| Last Modified: | 10 Dec 2018 15:10 |
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