Backlund Transformation for Integrable Hierarchies: example - mKdV Hierarchy
arXiv:1501.00865 · doi:10.1088/1742-6596/597/1/012039
Abstract
In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.
Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent, Belgium
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Cited by in corpus (5)
- Miura and Generalized Bäcklund Transformation for KdV Hierarchy
- Construction of Type-II Backlund Transformation for the mKdV Hierarchy
- Defects in the supersymmetric mKdV hierarchy via Backlund transformations
- Generalized Backlund transformations for Affine Toda Hierarchies
- Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy