Mikhail V. Foursov

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We show how the triangularization method of the second author can be successfully applied to the problem of classification of homogeneous coupled integrable equations. The classifications rely on the recent algorithm developed by the first author that requires solving 17 systems of polynomial equations. We show that these systems can be completely resolved(More)
Some relationships between local diierential geometry of surfaces and integrability of evolutionary partial diierential equations are studied. It is proven that every second order formally integrable equation describes pseudo-spherical surfaces. A classiication of integrable equations of Boussinesq type is presented, and it is shown that they can be(More)
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