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Jaulent, Marcel and Manna, Miguel A. and Martínez Alonso, Luis (1989) Multiseries Liegroups and asymptotic modules for characterizing and solving integrable models. Journal of mathematical physics, 30 (8). pp. 16621673. ISSN 00222488

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Official URL: http://dx.doi.org/10.1063/1.528251
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http://scitation.aip.org  Publisher 
Abstract
A multiseries integrable model (MSIM) is defined as a family of compatible flows on an infinitedimensional Lie group of Ntuples 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 RiemannHilbert 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 AblowitzKaupNewellSegur (AKNS) hierarchy. Twopole 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.
Item Type:  Article 

Additional Information:  ©1989 American Institute of Physics. 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  34521 
Deposited On:  03 Dec 2015 16:36 
Last Modified:  10 Dec 2018 15:10 
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