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Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation
integrable Weingarten surfaces soliton theory equation possesses
2010/4/1
In this paper we classify Weingarten surfaces integrable in the sense of soliton theory. The criterion is that the associated Gauss equation possesses an sl(2)-valued zero curvature representation wit...
On integrability of Weingarten surfaces: a forgotten class
Weingarten surfaces forgotten class Finkel-Wu conjecture
2010/4/1
Rediscovered by a systematic search, a forgotten class of integrable surfaces is shown to disprove the Finkel-Wu conjecture. The associated integrable nonlinear partial differential equation $$ z_{yy}...