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Conformai invariant Painlevé expansions and higher dimensional integrable models

  • Senyue Lou
Article

Abstract

After the (1 + 1)-dimensional nonlinear Schrödinger equation is embedded in higher dimensions and the usual singularity analysis approach is extended such that all the Painlevé expansion coefficients are conformai invariant, many higher dimensional integrable models are got after the nontrivial conformai invariant expansion coefficients are taken to be zero simply. The Painlevé properties of the obtained higher dimensional models (including some (3 + l)-dimensional models) are proved.

Keywords

conformai invariance Painlevé analysis integrable model. 

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Copyright information

© Science in China Press 1999

Authors and Affiliations

  • Senyue Lou
    • 1
  1. 1.Department of Applied PhysicsShanghai Jiaotong UniversityShanghaiChina

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