Group classification of the general evolution equation: local and quasi-local symmetries

Details Group classification of the general evolution equation: local and quasi-local symmetries Group classification of the general evolution equation: local and quasi-local symmetries

2005-10-03

arxiv.org/abs/nlin/0510003v1

SIGMA 1 (2005), 009, 7 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX2e

Scientific paper

We expand our group classification of quasilinear evolution equations (Acta
Appl.Math., v.69, 2001) to the case of general evolution equation in one
spatial variable. This enables obtaining several new classes of evolution
equations with nontrivial Lie symmetry. As a by-product, we derive a number of
nonlinear evolution equations admitting quasilocal symmetries.

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