Darboux-Bäcklund transformations and rational solutions of the painlevé IV equation

Rational solutions of the Painlevé IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Bäcklund transformations. ©2010 American Institute of Physics.

Equações de Painlevé mistas e modelo PIII-PV simétrico

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estrutura hamiltoniana da hierarquia PIV

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)