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The covariant equation Konno-Asai-Kakuhata prolongation structure

Author: XieTao
Tutor: WuKe
School: Capital Normal University
Course: Applied Mathematics
Keywords: Integrable equation Covariant prolongation structure B (a To ¨) klund conversion
CLC: O175.5
Type: Master's thesis
Year: 2008
Downloads: 15
Quote: 1
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Abstract


By Wahlquist and Estabrook prolongation structure theory is a powerful tool to deal with the nonlinear evolution equations integrable . But due to its prolongation structure equations non- covariant , so Guo et al. Using nonlinear contact theory to establish a set of covariant prolongation structure theory of nonlinear evolution equations . The advantage of this theory is pointed out that the geometric theory of covariant prolongation structure . This article is based on the covariant extension Billiton structure theory to construct a Konno-Asai-Kakuhata equation of sl ( 2 , R ) × R (ρ) the continuation structure , take the two -dimensional and one-dimensional continuation space , we respectively get the Konno et al to the inverse scattering equations and Riccati equation , In addition, we are also given the integrable equation B ( ? ) cklund transform .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Integral equation
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