The construction of generalized Bäcklund transformation for the An affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation. Such construction is based upon the graded ...

The construction of Miura and Bäcklund transformations for An mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation. As in thewell knownsl(2) case, we derive ...

From an algebraic construction of the mKdV hierarchy we observe that the space component of the Lax operator plays the role of a universal algebraic object. This fact induces the universality of a gauge transformation that ...

We study the construction of integrable hierarchies. These hierarchies have infinite equations of motion which arise from the same algebraic structure, and, as a consequence, we can find simultaneously and systematically its ...

Nesta tese fazemos um profundo estudo sobre as Transformações de Bäcklund (BT). Essas deixam as equações de uma teoria específica invariantes. Escolhemos o modelo de Toda generalizado dos quais obteremos as BT, essa escolha ...

The permutability of two Backlund transformations is employed to construct a nonlinear superposition formula to generate a class of solutions for the N = 1 super sinh-Gordon model. (C) 2009 Elsevier B.V. All rights reserved.

The permutability of two Backlund transformations is employed to construct a nonlinear superposition formula to generate a class of solutions for the N = 1 super sinh-Gordon model. (C) 2009 Elsevier B.V. All rights reserved.

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 ...

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 ...