Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation

Details Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation Scalar second order evolution equations possessing an irreducible sl$_2$-valued zero curvature representation

2002-03-21

arxiv.org/abs/nlin/0203043v1

J. Phys. A: Math. Gen. 35 (2002) 9431-9439

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, requires nath.sty

Scientific paper

10.1088/0305-4470/35/44/312

We find all scalar second order evolution equations possessing an
sl$_2$-valued zero curvature representation that is not reducible to a proper
subalgebra of sl$_2$. None of these zero-curvature representations admits a
parameter.

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