| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Inst Fis Teor UNESP, BR-01140070 Sao Paulo - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 48, n. 40 OCT 9 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that relates two field configurations of a given member of the hierarchy. Such gauge transformation generates the Backlund transformation (BT). In this paper we propose a systematic construction of BT for the entire mKdV hierarchy from the known type-II BT of the sinh-Gordon theory. We explicitly construct the BT of the first few integrable models associated to positive and negative grade-time evolutions. Solutions of these transformations for several cases describing the transition from vacuum-vacuum and the vacuum to one-soliton solutions which determines the value for the auxiliary field and the Backlund parameter respectively, independently of the model. The same follows for the scattering of two one-soliton solutions. The resultant delay is determined by a condition independent of the model considered. (AU) | |
| FAPESP's process: | 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects |
| Grantee: | Ana Lúcia Retore |
| Support Opportunities: | Scholarships in Brazil - Doctorate |