Pseudospherical Surfaces and Evolution Equations
作者:
S. S. Chern,
K. Tenenblat,
期刊:
Studies in Applied Mathematics
(WILEY Available online 1986)
卷期:
Volume 74,
issue 1
页码: 55-83
ISSN:0022-2526
年代: 1986
DOI:10.1002/sapm198674155
数据来源: WILEY
摘要:
We consider evolution equations, mainly of typeut= F(u, ux,..., ∂ku/∂xk), which describe pseudo‐spherical surfaces. We obtain a systematic procedure to determine a linear problem for which a given equation is the integrability condition. Moreover, we investigate how the geometrical properties of surfaces provide analytic information for such equa
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