Differential algebra of the Painleve property

作者:Benes G N*; Previato E
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(43): 434006.
DOI:10.1088/1751-8113/43/43/434006

摘要

In the 1970s, self-similar solutions to integrable PDEs were found to satisfy the Painleve condition. There ensued a proposal to linearize the Painleve condition via inverse scattering, which apparently had no sequel. In this paper, we implement an inverse construction for the Baker function and the self-similar condition, to produce by differential algebra the nonlinear ODE through a linear problem.

  • 出版日期2010-10-29