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Linear Problems Associated with Evolution Equations of the Type utt = F(u, ux, uxx, ut)

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Evolution equations which describe pseudospherical surfaces are considered. A systematic procedure to determine a linear problem for which a given equation is the integrability condition is obtained. The theory is applied to families of equations. In particular, the Liouville equation is obtained as the integrability condition of a linear problem.
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Document Type: Research Article

Affiliations: 1: Universidade Federal do Ceará 2: Universidade de Brasília

Publication date: October 1, 1987

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