A new Lie algebra and its applications
Author(s): Chang Shuangling
Pages: 627-633
Year: 2013 Issue: 6
Journal: Pure and Applied Mathematics
Keyword: Lie algebra; trace identity; integrable hierarchy; Hamilton structure;
Abstract: By constructing a new Lie algebra and its corresponding Loop algebra, an isospectral Lax pair is established whose compatibility condition gives rise to a Lax integrable hierarcy, whose reduced form is the well-known AKNS hierarchy. Its Hamilton structure is obtained by the use of the trace identity. Then, its Darboux transformations, symmetry, algebro-geometric solutions, and so on will be investigated further.
Pages: 627-633
Year: 2013 Issue: 6
Journal: Pure and Applied Mathematics
Keyword: Lie algebra; trace identity; integrable hierarchy; Hamilton structure;
Abstract: By constructing a new Lie algebra and its corresponding Loop algebra, an isospectral Lax pair is established whose compatibility condition gives rise to a Lax integrable hierarcy, whose reduced form is the well-known AKNS hierarchy. Its Hamilton structure is obtained by the use of the trace identity. Then, its Darboux transformations, symmetry, algebro-geometric solutions, and so on will be investigated further.
Related Articles