From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach

Y. Ohta; A. Ramani; B. Grammaticos; K. M. Tamizhmani

doi:10.1016/0375-9601(96)00292-7

From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach

solv-int 2009-10-30 v1 可精确求解与可积系统

作者: Y. Ohta , A. Ramani , B. Grammaticos , K. M. Tamizhmani

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摘要

We present the bilinear forms of the (continuous) Painlev\'e equations obtained from the continuous limit of the analogous expresssions for the discrete ones. The advantage of this method is that it leads to very symmetrical results. A new and interesting result is the bilinearization of the P $_{\rm VI}$ equation, something that was missing till now.

关键词

differential equations painlevé equations and orthogonal polynomials partial differential equations

引用

@article{arxiv.solv-int/9603002,
  title  = {From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach},
  author = {Y. Ohta and A. Ramani and B. Grammaticos and K. M. Tamizhmani},
  journal= {arXiv preprint arXiv:solv-int/9603002},
  year   = {2009}
}

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From Discrete to Continuous Painlev\'e Equations: A Bilinear Approach

摘要

关键词

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