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Darboux Transformations for the A^2n(2)-KdV Hierarchy.
- Source :
- Journal of Geometric Analysis; Apr2023, Vol. 33 Issue 4, p1-28, 28p
- Publication Year :
- 2023
-
Abstract
- The A ^ 2 n (2) -hierarchy can be constructed from a splitting of the Kac–Moody algebra of type A ^ 2 n (1) by an involution. By choosing certain cross section of the gauge action, we obtain the A ^ 2 n (2) -KdV hierarchy. They are the equations for geometric invariants of isotropic curve flows of type A, which gives a geometric interpretation of the soliton hierarchy. In this paper, we construct Darboux and Bäcklund transformations for the A ^ 2 n (2) -hierarchy, and use it the construct Darboux transformations for the A ^ 2 n (2) -KdV hierarchy and isotropic curve flows of type A. Moreover, explicit soliton solutions for these hierarchies are given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10506926
- Volume :
- 33
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Geometric Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 161655541
- Full Text :
- https://doi.org/10.1007/s12220-022-01158-w