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Zbl 1069.37058
Khater, A.H.; Callebaut, D.K.; Sayed, S.M.
Conservation laws for some nonlinear evolution equations which describe pseudo-spherical surfaces. (English)
[J] J. Geom. Phys. 51, No. 3, 332-352 (2004). ISSN 0393-0440

Summary: The relation between pseudo-spherical surfaces and the inverse scattering method is exemplified for several evolution equations. Conservation laws for the latter ones are obtained using a geometrical property of these pseudo-spherical surfaces.
MSC 2000:
*37K25 Relations with differential geometry
58A10 Differential forms
14Q10 Surfaces, hypersurfaces
35Q51 Solitons
53A05 Surfaces in Euclidean space
37K15 Integration by inverse spectral and scattering methods

Keywords: conservation laws; nonlinear evolution equations; geometrical methods; inverse scattering method; differential forms; solitons; hyper-surfaces

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