The construction of negative grade KdV hierarchy is proposed in terms of a Miura-gauge transformation. Such gauge transformation is employed within the zero curvature representation and maps the Lax operator of the mKdV into its couterpart within the KdV setting. Each odd negative KdV flow is obtained from an odd and its subsequent even negative mKdV flows. The negative KdV flows are shown to inherit the two different vacua structure that characterizes the associated mKdV flows.
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Y. F. Adans,
- 1 Jose F. Gomes,
- 1 G. V. Lobo,
- 1 A. H. Zimerman
- Conselho Nacional de Desenvolvimento Científico e Tecnológico / National Council for Scientific and Technological Development [CNPq]
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (through Organization: Coordenação de Aperfeicoamento de Pessoal de Nível Superior [CAPES])
- Fundação de Amparo à Pesquisa do Estado de São Paulo / São Paulo Research Foundation [FAPESP]