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Classical Lie symmetries and reductions of a nonisospectral Lax pair

The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551). Identification of the classical Lie symmetries provides a set of reductions that give rise to different nontrivial spectral problems in 1+1 dimensions. The form in which the spectral parameter of the 1+1 Lax pair is introduced is carefully described.

preprint2011arXivOpen access
P. G. EstevezM. L. GandariasJ. de Lucas
nlin.PSnlin.SI
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P. G. EstevezM. L. GandariasJ. de Lucas

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