2026-06-28T04:45:40Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/598332023-08-27T20:29:21Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Jaulent, Marcel author Manna, Miguel A. author Martínez Alonso, Luis author 1989-08 A 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 (j 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. 0022-2488 10.1063/1.528251 https://hdl.handle.net/20.500.14352/59833 http://dx.doi.org/10.1063/1.528251 http://scitation.aip.org Multiseries Lie-groups and asymptotic modules for characterizing and solving integrable models