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Deformation and (3+1)-dimensional integrable model

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Abstract

A suitable and effective deformation relation is derived by using the Miura transformation. In the light of this relation, the (2 + 1)-dimensional linear heat conductive equation is deformed to a (3 + 1)-dimensional model. It is proved by standard singularity structure analysis that the (3+1)-dimensional nonlinear equation obtained here is Painlevé integrable.

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Authors and Affiliations

  1. Department of Physics, Shaoxing College of Arts and Science, 312000, Shaoxing, China

    Jun Yu

  2. Department of Applied Physics, Shanghai Jiaotong University, 200030, Shanghai, China

    Senyue Lou

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  1. Jun Yu
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  2. Senyue Lou
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Correspondence to Jun Yu.

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Yu, J., Lou, S. Deformation and (3+1)-dimensional integrable model. Sci. China Ser. A-Math. 43, 655–660 (2000). https://doi.org/10.1007/BF02908778

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  • DOI: https://doi.org/10.1007/BF02908778

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