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From infinitesimal symmetries to deformed symmetries of Lax-type equations

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, , Citation Jean-Pierre Magnot 2015 J. Phys.: Conf. Ser. 633 012013 DOI 10.1088/1742-6596/633/1/012013

1742-6596/633/1/012013

Abstract

Using the procedure initiated in [14], we deform Lax-type equations though a scaling of the time parameter. This gives an equivalent (deformed) equation which is integrable in terms of power series of the scaling parameter. We then describe a regular Frolicher Lie group of symmetries of this deformed equation

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10.1088/1742-6596/633/1/012013