Equations of the reaction-diffusion type with a loop algebra structure

Details Equations of the reaction-diffusion type with a loop algebra structure Equations of the reaction-diffusion type with a loop algebra structure

1997-10-13

arxiv.org/abs/solv-int/9710007v1

Inv. Prob. 14, 1387-1401 (1998)

Physics

Condensed Matter

16 pages, LaTex. submitted to Inverse Problems

Scientific paper

10.1088/0266-5611/14/6/003

A system of equations of the reaction-diffusion type is studied in the
framework of both the direct and the inverse prolongation structure. We find
that this system allows an incomplete prolongation Lie algebra, which is used
to find the spectral problem and a whole class of nonlinear field equations
containing the original ones as a special case.

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