Jaulent, MarcelManna, Miguel A. [UNESP]Martínez Alonso, Luis2014-05-272014-05-271989-08-01Journal of Mathematical Physics, v. 30, n. 8, p. 1662-1673, 1989.0022-2488http://hdl.handle.net/11449/130489A multiseries integrable model (MSIM) is defined as a family of compatible flows on an infinite-dimensional Lie group of N-tuples of formal series around N given poles on the Riemann sphere. Broad classes of solutions to a MSIM are characterized through modules over rings of rational functions, called asymptotic modules. Possible ways for constructing asymptotic modules are Riemann-Hilbert and ∂̄ problems. When MSIM's are written in terms of the group coordinates, some of them can be contracted into standard integrable models involving a small number of scalar functions only. Simple contractible MSIM's corresponding to one pole, yield the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy. Two-pole contractible MSIM's are exhibited, which lead to a hierarchy of solvable systems of nonlinear differential equations consisting of (2 + 1) -dimensional evolution equations and of quite strong differential constraints. © 1989 American Institute of Physics.1662-1673engArtigo10.1063/1.528251WOS:A1989AH02700002Acesso aberto2-s2.0-365491024312-s2.0-36549102431.pdf